Diketahui vektor u = 2i⃗ - 3j⃗ + 5k⃗ dan v = -3i⃗ - 5j⃗ + 2k⃗ mengapit sudut θ. Maka nilai tan θ adalah ...

3 \sqrt{3} 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

2 \sqrt{2} 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

5 \sqrt{5} 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

6 \sqrt{6} 6 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Diketahui vektor a = 7i⃗ + 5j⃗ - 3k⃗ dan b = 5i⃗ + 2j⃗ + 3k⃗ serta c = a - b. Vektor satuan yang searah dengan c adalah ...

2 7 i ⃗ + 3 7 j ⃗ − 6 7 k ⃗ \frac{2}{7}i⃗+\frac{3}{7}j⃗-\frac{6}{7}k⃗ 7 2 i ⃗ + 7 3 j ⃗ − 7 6 k ⃗

1 7 i ⃗ + 2 7 j ⃗ + 3 7 k ⃗ \frac{1}{7}i⃗+\frac{2}{7}j⃗+\frac{3}{7}k⃗ 7 1 i ⃗ + 7 2 j ⃗ + 7 3 k ⃗

2 7 i ⃗ − 3 7 j ⃗ + 3 7 k ⃗ \frac{2}{7}i⃗-\frac{3}{7}j⃗+\frac{3}{7}k⃗ 7 2 i ⃗ − 7 3 j ⃗ + 7 3 k ⃗

5 7 i ⃗ − 3 7 j ⃗ + 3 7 k ⃗ \frac{5}{7}i⃗-\frac{3}{7}j⃗+\frac{3}{7}k⃗ 7 5 i ⃗ − 7 3 j ⃗ + 7 3 k ⃗

5 7 i ⃗ − 3 7 j ⃗ − 2 5 k ⃗ \frac{5}{7}i⃗-\frac{3}{7}j⃗-\frac{2}{5}k⃗ 7 5 i ⃗ − 7 3 j ⃗ − 5 2 k ⃗

Jika a=i ⃗-2j ⃗+k ⃗, b=2i ⃗-2j ⃗-3k ⃗ dan c=-i ⃗+j ⃗+2k ⃗, maka 2a-3b-5c sama dengan...

i ⃗ + j ⃗ + k ⃗ i⃗+j⃗+k⃗ i ⃗ + j ⃗ + k ⃗

2 i ⃗ − 5 j ⃗ + k ⃗ 2i⃗-5j⃗+k⃗ 2 i ⃗ − 5 j ⃗ + k ⃗

5 i ⃗ − 2 j ⃗ + k ⃗ 5i⃗-2j⃗+k⃗ 5 i ⃗ − 2 j ⃗ + k ⃗

5 i ⃗ + 2 j ⃗ + k ⃗ 5i⃗+2j⃗+k⃗ 5 i ⃗ + 2 j ⃗ + k ⃗

5 i ⃗ − 2 j ⃗ − k ⃗ 5i⃗-2j⃗-k⃗ 5 i ⃗ − 2 j ⃗ − k ⃗

Diketahui vektor a=4i ⃗-2j ⃗+2k ⃗ dan vektor b=2i ⃗-6j ⃗+4k ⃗. Proyeksi orthogonal vektor a pada vektor b adalah...

i ⃗ − 3 j ⃗ + 2 k ⃗ i⃗-3j⃗+2k⃗ i ⃗ − 3 j ⃗ + 2 k ⃗

i ⃗ − j ⃗ + k ⃗ i⃗-j⃗+k⃗ i ⃗ − j ⃗ + k ⃗

i ⃗ − 4 j ⃗ + 4 k ⃗ i⃗-4j⃗+4k⃗ i ⃗ − 4 j ⃗ + 4 k ⃗

2 i ⃗ − j ⃗ + k ⃗ 2i⃗-j⃗+k⃗ 2 i ⃗ − j ⃗ + k ⃗

6 i ⃗ − 8 j ⃗ + 6 k ⃗ 6i⃗-8j⃗+6k⃗ 6 i ⃗ − 8 j ⃗ + 6 k ⃗

Diketahui vektor u=i ⃗+2j ⃗-3k ⃗ dan vektor v=2i ⃗-3j ⃗-6k ⃗. Proyeksi orthogonal vektor u pada vektor v adalah...

4 i ⃗ − 6 j ⃗ − 12 k ⃗ 4i⃗-6j⃗-12k⃗ 4 i ⃗ − 6 j ⃗ − 1 2 k ⃗

4 i ⃗ + 6 j ⃗ − 12 k ⃗ 4i⃗+6j⃗-12k⃗ 4 i ⃗ + 6 j ⃗ − 1 2 k ⃗

4 i ⃗ − 6 j ⃗ + 12 k ⃗ 4i⃗-6j⃗+12k⃗ 4 i ⃗ − 6 j ⃗ + 1 2 k ⃗

4 i ⃗ + 6 j ⃗ + 12 k ⃗ 4i⃗+6j⃗+12k⃗ 4 i ⃗ + 6 j ⃗ + 1 2 k ⃗

2 i ⃗ − 3 j ⃗ − 6 k ⃗ 2i⃗-3j⃗-6k⃗ 2 i ⃗ − 3 j ⃗ − 6 k ⃗

Diketahui vektor P=3i ⃗+2j ⃗+k ⃗ dan vektor Q=2i ⃗+j ⃗+k ⃗. Jika vektor R=3P-4Q maka panjang vektor R=...

6 \sqrt{6} 6 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

7 \sqrt{7} 7 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

11 \sqrt{11} 1 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

13 \sqrt{13} 1 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

14 \sqrt{14} 1 4 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Pengertian vektor adalah...

Besaran yang memiliki nilai dan arah

Besaran yang tidak memiliki nilai

Besaran yang tidak memiliki arah

Diketahui vektor u=2i ⃗-3j ⃗+5k ⃗ dan v=-3i ⃗-5j ⃗+2k ⃗ mengapit sudut θ. Maka nilai sin⁡θ adalah...

1 2 3 \frac{1}{2}\sqrt{3} 2 1 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

3 \sqrt{3} 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

1 2 2 \frac{1}{2}\sqrt{2} 2 1 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

SUSULAN PAT MATEMATIKA PEMINATAN KELAS X

Authored by kurikulum 024

Mathematics

10th Grade

Used 17+ times

SUSULAN PAT MATEMATIKA PEMINATAN KELAS X

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Diketahui a ⃗ =2i ⃗ + j ⃗ - 4k ⃗ dan b ⃗ = - i ⃗ + 2j ⃗ + k ⃗ . Vektor proyeksi a ⃗ pada vektor b ⃗ adalah...

2/3i ⃗ - 4/3j ⃗ + 2/3k ⃗

2/3i ⃗ - 4/3j ⃗ - 2/3k ⃗

2/3i ⃗ + 4/3j ⃗ + 2/3k ⃗

1/3i ⃗ - 4/3j ⃗ - k ⃗

1/3i ⃗ - 2/3j ⃗ - 1/3k ⃗

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Diketahui u⃗ = (-2, 4) dan v⃗= (-8, 6). Panjang vektor proyeksi u⃗ ke v⃗ adalah...

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Jika diketahui vektor a⃗ = ( 1, 2, 3), b⃗ = (5, 4, -1), dan c⃗ = (4, -1, 1) maka vektor
a⃗ + 2b⃗ - 3c⃗ = ...

$6i⃗+11j⃗-8k⃗$

-7i⃗+13j⃗-8k⃗

$-i⃗+12j⃗-2k⃗$

$-i⃗+13j⃗-2k⃗$

$-6i⃗+12j⃗+8k⃗$

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Diketahui vektor a⃗ = 5i⃗ + j⃗ + 7k⃗ dan b⃗ = 3i⃗ - j⃗ + 2k⃗. Proyeksi orthogonal vektor a⃗ pada b⃗ adalah ...

5i⃗+2j⃗+9k⃗

$6i⃗-2j⃗+4k⃗$

$5i⃗+j⃗+7k⃗$

$8i⃗-2j⃗+9k⃗$

$6i⃗+2j⃗+4k⃗$

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Diketahui vektor a⃗ = 2i⃗ - 3j⃗ + k⃗, b⃗ = pi⃗+2j⃗ - k⃗, dan c⃗ = i⃗ - j⃗ + 3k⃗. Jika b⃗ tegak lurus terhadap vektor c⃗, vektor a⃗ - b⃗ - c⃗ = ...

$-4i⃗+4j⃗+3k⃗$

$-4i⃗-4j⃗+3k⃗$

$-4i⃗-4j⃗-k⃗$

$-3i⃗+4j⃗+4k⃗$

$-3i⃗-4j⃗-4k⃗$

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Dikehui vektor-vektor : A (1, 2, 3), B (-5, 3, -2), dan C (1, 0, 2). Proyeksi skalar a pada ( b + c) adalah ...

2/5

3/5

4/5

7/5

9/5

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Diketahui P ( 1, 2, 3 ), Q ( 3, 3, 1 ), dan R ( 7, 5, -3 ). Jika P, Q, dan R segaris, maka perbandingan PQ : QR = ...

1 : 2

2 : 1

2 : 5

5 : 7

7 : 5

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SUSULAN PAT MATEMATIKA PEMINATAN KELAS X

Diketahui a ⃗ =2i ⃗ + j ⃗ - 4k ⃗ dan b ⃗ = - i ⃗ + 2j ⃗ + k ⃗ . Vektor proyeksi a ⃗ pada vektor b ⃗ adalah...

Diketahui u⃗ = (-2, 4) dan v⃗= (-8, 6). Panjang vektor proyeksi u⃗ ke v⃗ adalah...

Jika diketahui vektor a⃗ = ( 1, 2, 3), b⃗ = (5, 4, -1), dan c⃗ = (4, -1, 1) maka vektor
a⃗ + 2b⃗ - 3c⃗ = ...

Diketahui vektor a⃗ = 5i⃗ + j⃗ + 7k⃗ dan b⃗ = 3i⃗ - j⃗ + 2k⃗. Proyeksi orthogonal vektor a⃗ pada b⃗ adalah ...

Diketahui vektor a⃗ = 2i⃗ - 3j⃗ + k⃗, b⃗ = pi⃗+2j⃗ - k⃗, dan c⃗ = i⃗ - j⃗ + 3k⃗. Jika b⃗ tegak lurus terhadap vektor c⃗, vektor a⃗ - b⃗ - c⃗ = ...

Dikehui vektor-vektor : A (1, 2, 3), B (-5, 3, -2), dan C (1, 0, 2). Proyeksi skalar a pada ( b + c) adalah ...

Diketahui P ( 1, 2, 3 ), Q ( 3, 3, 1 ), dan R ( 7, 5, -3 ). Jika P, Q, dan R segaris, maka perbandingan PQ : QR = ...

Diketahui vektor u = 2i⃗ - mj⃗ + k⃗ dan v = 5i⃗ + j⃗ - 2k⃗ saling tegak lurus. Maka nilai m haruslah...

Diketahui titik P (1, -2, 5), Q (2, -4, 4), dan R (-1, 2, 7), maka QR = ...

Diketahui A ( -1, 2, 7), B ( 2, 1, 4), dan C (6, -3, 2). Apabila AB = u dan BC = v, maka hasil dari u.v = ...

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SUSULAN PAT MATEMATIKA PEMINATAN KELAS X

Diketahui a ⃗ =2i ⃗ + j ⃗ - 4k ⃗ dan b ⃗ = - i ⃗ + 2j ⃗ + k ⃗ . Vektor proyeksi a ⃗ pada vektor b ⃗ adalah...

Diketahui u⃗ = (-2, 4) dan v⃗= (-8, 6). Panjang vektor proyeksi u⃗ ke v⃗ adalah...

Jika diketahui vektor a⃗ = ( 1, 2, 3), b⃗ = (5, 4, -1), dan c⃗ = (4, -1, 1) maka vektora⃗ + 2b⃗ - 3c⃗ = ...

Diketahui vektor a⃗ = 5i⃗ + j⃗ + 7k⃗ dan b⃗ = 3i⃗ - j⃗ + 2k⃗. Proyeksi orthogonal vektor a⃗ pada b⃗ adalah ...

Diketahui vektor a⃗ = 2i⃗ - 3j⃗ + k⃗, b⃗ = pi⃗+2j⃗ - k⃗, dan c⃗ = i⃗ - j⃗ + 3k⃗. Jika b⃗ tegak lurus terhadap vektor c⃗, vektor a⃗ - b⃗ - c⃗ = ...

Dikehui vektor-vektor : A (1, 2, 3), B (-5, 3, -2), dan C (1, 0, 2). Proyeksi skalar a pada ( b + c) adalah ...

Diketahui P ( 1, 2, 3 ), Q ( 3, 3, 1 ), dan R ( 7, 5, -3 ). Jika P, Q, dan R segaris, maka perbandingan PQ : QR = ...

Diketahui vektor u = 2i⃗ - mj⃗ + k⃗ dan v = 5i⃗ + j⃗ - 2k⃗ saling tegak lurus. Maka nilai m haruslah...

Diketahui titik P (1, -2, 5), Q (2, -4, 4), dan R (-1, 2, 7), maka QR = ...

Diketahui A ( -1, 2, 7), B ( 2, 1, 4), dan C (6, -3, 2). Apabila AB = u dan BC = v, maka hasil dari u.v = ...

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Jika diketahui vektor a⃗ = ( 1, 2, 3), b⃗ = (5, 4, -1), dan c⃗ = (4, -1, 1) maka vektor
a⃗ + 2b⃗ - 3c⃗ = ...