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If \overrightarrow{a} and \overrightarrow{b} are two non-collinear vector then, the number of unit vectors orthogonal to both \overrightarrow{a} and \overrightarrow{b} is

Option: 1

0


Option: 2

1


Option: 3

2


Option: 4

3


Answers (1)

best_answer

As we learn

Orthogonal system of Unit Vectors -

\vec{OP}= \hat{xi}+y\hat{j}+z\hat{k}

- wherein

 

 

\vec{a} and \vec{b} as non-collinear , so they will lie in a plane (partucular), so orthogonal vector to them will be orthogonal on plane as well,so it can be in two directions just opposite to each and perpendicular to plane. Hence two unit vectors.

\therefore option C

Posted by

shivangi.shekhar

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