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If veca * vecb = |veca xx vecb|, then th...

If `veca * vecb = |veca xx vecb|`, then this angle between `veca and vecb` is,

A

` 0^(@)`

B

` 180^(@)`

C

` 150^(@)`

D

`45^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D

we have,
` |veca.vecb|= |veca xx vecb|`
` Rightarrow |veca||vecb||cos theta| = |veca||vecb| sin theta`
` Rightarrow |cos theta | = sin theta`
` Rightarrow theta = 45^(@) , 135^(@)`
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