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ベクトルの内積の基礎を固める

Authored by Kenji Takei

Mathematics

11th - 12th Grade

Used 46+ times

ベクトルの内積の基礎を固める
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9 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt


 a=5\left|\overrightarrow{a}\right|=5  , b=2\left|\overrightarrow{b}\right|=2  ,なす角 45°45\degree  のとき

 ab\overrightarrow{a}\cdot\overrightarrow{b}  を求めよ

 525\sqrt{2}  

 55  

 727\sqrt{2}  

 52-5\sqrt{2}  

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 a=3\left|\overrightarrow{a}\right|=3  , b=4\left|\overrightarrow{b}\right|=4  ,なす角 120°120\degree  のとき
 ab\overrightarrow{a}\cdot\overrightarrow{b}  を求めよ

 6-6  

 63-6\sqrt{3}  

 636\sqrt{3}  

 66  

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 a=(4,1)\overrightarrow{a}=\left(4,-1\right)  , b=(3,5)\overrightarrow{b}=\left(3,5\right)  のとき

 ab\overrightarrow{a}\cdot\overrightarrow{b}  を求めよ

 77  

 1717  

 1111  

 2323  

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 a=(3,2)\overrightarrow{a}=\left(-3,-2\right)  , b=(2,0)\overrightarrow{b}=\left(2,0\right)  のとき

 ab\overrightarrow{a}\cdot\overrightarrow{b}  を求めよ

 6-6  

 44  

 8-8  

 4-4  

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 a=(3,2)\overrightarrow{a}=\left(\sqrt{3},2\right)  , b=(3, 3)\overrightarrow{b}=\left(3,\ -\sqrt{3}\right)  のとき

 ab\overrightarrow{a}\cdot\overrightarrow{b}  を求めよ

 3\sqrt{3}  

 535\sqrt{3}  

 33  

 232\sqrt{3}  

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 a=(2,6)\overrightarrow{a}=\left(2,6\right)  , b=(3, 1)\overrightarrow{b}=\left(-3,\ 1\right)  のとき

 ab\overrightarrow{a}\cdot\overrightarrow{b}  を求めよ

 00  

 16-16  

 1212  

 6-6  

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 a=2\left|\overrightarrow{a}\right|=\sqrt{2}  , b=6\left|\overrightarrow{b}\right|=\sqrt{6}  
 ab=3\overrightarrow{a}\cdot\overrightarrow{b}=\sqrt{3}  

のとき ab\overrightarrow{a}\cdot\overrightarrow{b}  のなす角 θ\theta  を求めよ

 60°60\degree  

 30°30\degree  

 45°45\degree  

 90°90\degree  

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