Diketahui vektor-vektor a → = ( − 4 3 ) \overrightarrow{\ a}\ =\left(_{-4}^{\ \ 3}\right) a <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = ( − 4 3 ) dan b → = ( 5 − 2 ) \overrightarrow{b\ }=\ \left(_{\ \ 5}^{-2}\right) b <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = ( 5 − 2 ) . Kombinasi linear dari 2 a → + 3 b → \overrightarrow{2a}+\overrightarrow{3b} 2 a <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> + 3 b <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> adalah ... .

7 j → \overrightarrow{7j} 7 j <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z">

7 i → + 12 j → \overrightarrow{7i}+\overrightarrow{12j} 7 i <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> + 1 2 j <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z">

− 7 i → − 12 j → -\overrightarrow{7i}-\overrightarrow{12j} − 7 i <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> − 1 2 j <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z">

7 i → \overrightarrow{7i} 7 i <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z">

− 7 i → -\overrightarrow{7i} − 7 i <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z">

Vektor

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Mathematics

10th Grade

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Diketahui vektor-vektor $\overrightarrow{\ a}\ =\left(_{-4}^{\ \ 3}\right)$ dan $\overrightarrow{b\ }=\ \left(_{\ \ 5}^{-2}\right)$ . Kombinasi linear dari $\overrightarrow{2a}+\overrightarrow{3b}$ adalah ... .

$\overrightarrow{7i}+\overrightarrow{12j}$

$-\overrightarrow{7i}-\overrightarrow{12j}$

$\overrightarrow{7j}$

$\overrightarrow{7i}$

$-\overrightarrow{7i}$

FILL IN THE BLANK QUESTION

5 mins • 1 pt

Besar vektor AB jika A(4, 14) dan B(16, -2) adalah ... .

FILL IN THE BLANK QUESTION

5 mins • 1 pt

Besar resultan dari vektor $\overrightarrow{p\ }=\ \left(_{\ 23}^{\ \ 8}\right)$ dan $\overrightarrow{q\ }=\left(_{-2}^{12}\right)$ adalah ... .

FILL IN THE BLANK QUESTION

5 mins • 1 pt

Jika koordinat A(0, -6), B(-5, 7), C(1, -6), dan D(2, 1), besar vektor $\overrightarrow{BD}+\overrightarrow{AC}$ adalah ... .

FILL IN THE BLANK QUESTION

5 mins • 1 pt

Nilai $\overrightarrow{a\ }\ .\ \overrightarrow{b\ }$ untuk $\overrightarrow{a\ }=\overrightarrow{2i}+\overrightarrow{4k}$ dan $\overrightarrow{b\ }=\overrightarrow{i\ }+\overrightarrow{5j}$ adalah ... .

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$-13\overrightarrow{i}+14\overrightarrow{j}-\overrightarrow{k}$

$18\overrightarrow{i}-14\overrightarrow{j}+\overrightarrow{k}$

$13\overrightarrow{i}-14\overrightarrow{j}-\overrightarrow{k}$

$13\overrightarrow{i}-14\overrightarrow{j}+19\overrightarrow{k}$

$5\overrightarrow{i}+14\overrightarrow{j}+19\overrightarrow{k}$

FILL IN THE BLANK QUESTION

5 mins • 1 pt

Diketahui vektor-vektor $\overrightarrow{a\ }=-2\overrightarrow{i\ }-1\overrightarrow{j}+8\overrightarrow{k}$ dan $\overrightarrow{b\ }=-22\overrightarrow{i}+9j-2\overrightarrow{k}$ , panjang vektor $\overrightarrow{b}+\overrightarrow{a}$ adalah ... .

FILL IN THE BLANK QUESTION

5 mins • 1 pt

Diketahui persegi panjang OKLM dengan besar $\overrightarrow{OK}=12$ dan besar $\overrightarrow{KL}=5$ . Jika $\overrightarrow{OK}=\overrightarrow{a}$ dan $\overrightarrow{OL}=\overrightarrow{b}$ , nilai $\overrightarrow{a}\cdot\overrightarrow{b}$ adalah ... .

FILL IN THE BLANK QUESTION

5 mins • 1 pt

Jika besar sudut antara vektor $\overrightarrow{p}=-2\overrightarrow{i}-1\overrightarrow{j}+3\overrightarrow{k}$ dan $\overrightarrow{q}=1\overrightarrow{i}-3\overrightarrow{j}+2\overrightarrow{k}$ adalah $\alpha$ , maka besar $\alpha$ adalah ... $\degree$ . (Jawab hanya dengan angka saja)

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Vektor

Diketahui vektor-vektor a→ =(−4 3)\overrightarrow{\ a}\ =\left(_{-4}^{\ \ 3}\right) a =(−4 3​) dan b →= ( 5−2)\overrightarrow{b\ }=\ \left(_{\ \ 5}^{-2}\right)b = ( 5−2​) . Kombinasi linear dari 2a→+3b→\overrightarrow{2a}+\overrightarrow{3b}2a+3b adalah ... .

Besar vektor AB jika A(4, 14) dan B(16, -2) adalah ... .

Besar resultan dari vektor p →= ( 23 8)\overrightarrow{p\ }=\ \left(_{\ 23}^{\ \ 8}\right)p ​= ( 23 8​) dan q →=(−212)\overrightarrow{q\ }=\left(_{-2}^{12}\right)q ​=(−212​) adalah ... .

Jika koordinat A(0, -6), B(-5, 7), C(1, -6), dan D(2, 1), besar vektor BD→+AC→\overrightarrow{BD}+\overrightarrow{AC}BD+AC adalah ... .

Nilai a → . b →\overrightarrow{a\ }\ .\ \overrightarrow{b\ }a . b untuk a →=2i→+4k→\overrightarrow{a\ }=\overrightarrow{2i}+\overrightarrow{4k}a =2i+4k dan b →=i →+5j→\overrightarrow{b\ }=\overrightarrow{i\ }+\overrightarrow{5j}b =i +5j​ adalah ... .

Tentukan koordinat X yang berada di antara titik P(9, -1) dan Q(-11, 9) dengn perbandingan PX : XQ = 3 : 7. (Petunjuk: jawaban langsung berupa titik koordinat, misal (x,y) )

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Diketahui vektor-vektor $\overrightarrow{\ a}\ =\left(_{-4}^{\ \ 3}\right)$ dan $\overrightarrow{b\ }=\ \left(_{\ \ 5}^{-2}\right)$ . Kombinasi linear dari $\overrightarrow{2a}+\overrightarrow{3b}$ adalah ... .

Besar resultan dari vektor $\overrightarrow{p\ }=\ \left(_{\ 23}^{\ \ 8}\right)$ dan $\overrightarrow{q\ }=\left(_{-2}^{12}\right)$ adalah ... .

Jika koordinat A(0, -6), B(-5, 7), C(1, -6), dan D(2, 1), besar vektor $\overrightarrow{BD}+\overrightarrow{AC}$ adalah ... .

Nilai $\overrightarrow{a\ }\ .\ \overrightarrow{b\ }$ untuk $\overrightarrow{a\ }=\overrightarrow{2i}+\overrightarrow{4k}$ dan $\overrightarrow{b\ }=\overrightarrow{i\ }+\overrightarrow{5j}$ adalah ... .