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Two vectors are given by vec(A) = hat(i)...

Two vectors are given by `vec(A) = hat(i) + 2hat(j) + 2hat(k)` and `vec(B) = 3hat(i) + 6hat(j) + 2hat(k)`. Another vector `vec(C )` has the same magnitude as `vec(B)` but has the same direction as `vec(A)`. Then which of the following vectors represents `vec(C )` ?

A

`(7)/(3) (hati+2hatj+2hatk)`

B

`(3)/(7) (hati-2hatj+2hatk)`

C

`(7)/(9) (hati+2hatj+2hatk)`

D

`(9)/(7) (hati+2hatj+2hatk)`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • Vector vec(A)=hat(i)+hat(j)-2hat(k) and vec(B)=3hat(i)+3hat(j)-6hat(k) are :

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    A
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  • If vec(A)=2hat(i)+hat(j)+hat(k) and vec(B)=hat(i)+hat(j)+hat(k) are two vectors, then the unit vector is

    A
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    C
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    D
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