1.

If the vectors vec(P)=ahat(i) + ahat(j) + 3hat(k) and vec(Q)=ahat(i) -2hat(j) - hat(k) are perpendicular to each other, then positive value of a is :

Answer»

3
2
1
zero

Solution :Here `VEC(P)=AHATI+ahatj +3hatk, vec(Q)=ahati-2hatj-hatk`
Dot PRODUCT of `bot` rvector is zero i.e., `vec(P).vec(Q)=0`
`(ahati + ahatj +3hatk)-(ahati-2hatj-hatk)=0`
`a^(2)-2a-3=0`
a(a-2)=3
when a = 3 only then a - 2 is positive.


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