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Question
If `θ` be the angle between any two vectors `veca` and `vecb`, then `|veca * vecb| = |veca xx vecb|`, when `θ` is equal to
Options
0
`pi/4`
`pi/2`
`pi`
MCQ
Solution
`pi/4`
Explanation:
'θ' is the angle between vectory `veca` and `vecb`
∴ `|veca * vecb| = |veca| |vecb| |cos theta|`
And `|veca xx vecb| = |veca| |vecb| |sin theta|`
We have `|veca * vecb| = |veca xx vecb|`
∴ `|veca||vecb| cos theta = |veca||vecb| sin theta`
⇒ `|cos theta| = |sin theta|`
or `|tan theta|` = 1 or `tan theta` = 1
⇒ `theta = pi/4`
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