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The angle between two vectors 2 hat(i) ...

The angle between two vectors `2 hat(i) + 3 hat(j) + hat(k) and - 3 hat(i) + 6 hat(k) ` is :

A

`0^(@)`

B

`45^(@)`

C

`60^(@)`

D

`90^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D

`A. B = (2 hat(i) + 3 hat(j) + hat(k)) * (- 3 hat(i) + 6 hat(k))`
= - 6 + 6 = 0
Since A.B = 0 the angle between two vectors is `90^(@)`
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