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  • Let <img alt="\overrightarrow{a}=2\hat{i}-\hat{j}+3\hat{k},\overrightarrow{b}=-2\hat{i}+5\hat{j}+3\hat{k}" src="https://learn.careers360.com/latex-image/?%5Coverrightarrow%7Ba%7D%3D2%5Chat%7Bi

Let \overrightarrow{a}=2\hat{i}-\hat{j}+3\hat{k},\overrightarrow{b}=-2\hat{i}+5\hat{j}+3\hat{k} then angle between \vec a and \vec b equals:

Option: 1

300


Option: 2

600


Option: 3

900


Option: 4

00


Answers (1)

best_answer

as we learn

Properties of Scalar Product -

\vec{a}.\vec{b}=0

\vec{a}\:is\: prependicular\:\vec{b}

- wherein

Provided that \vec{a} \neq 0, \:\vec{b}\neq 0

 

 \vec{a}\cdot \vec{b}=(2)(-2)+(-1)(5)+(3)(3)=0

\vec{a}\ and\ \vec{b} are perpendicular

 

Posted by

mansi

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