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Consider the vectors bar(a)=hat(i)-2hat(...

Consider the vectors `bar(a)=hat(i)-2hat(j)+hat(k) and bar(b)=4hat(i)-4hat(j)+7hat(k)`.
What is the vector perpendicular to both the vectors ?

A

`-10hat(i)-3hat(j)+4hat(k)`

B

`-10hat(i)+3hat(j)+4hat(k)`

C

`10hat(i)-3hat(j)+4hat(k)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Vector perpendicular to `vec(a) and vec(b) = vec(a)xxvec(b)`
`=|(hat(i), hat(j), hat(k)),(1,-2,1),(4,-4, 7)|=hat(i) (-14+4)-hat(j) (7-4)+hat(k)(-4+8)`
`=-10hat(i)-3hat(j)+4hat(k)`
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