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Let the vectors overset(to)(a), overse...

Let the vectors `overset(to)(a), overset(to)(b), overset(to)( c) " and " overset(to)(d)` be such that
`(overset(to)(a) xx overset(to)(b)) xx ( overset(to)(c ) xx overset(to)(d)) = overset(to)(0) . " If " P_(1) " and " P_(2)` are planes determined by the pairs of vectors `overset(to)(a) , overset(to)(b) " and " oerset(to)(c ) , overset(to)(d)` respectively then the angle between `P_(1) " and "P_(2)` is

A

0

B

`pi//4`

C

`pi//3`

D

`pi//2`

Text Solution

Verified by Experts

The correct Answer is:
A
If 0 is the angle between `P_(1) " and " P_(2)` then normal to the plenes are
`underset(N_(2) = vec(c ) xx vec(d))(`N_(1) = vec(a) xx vec(b)`)}`
Then `|N_(1) | xx | N_(2) | sin 0 =0`
`rArr sin 0 = rArr 0=0`
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