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If `vec(A)=2hat(i)+hat(j)+hat(k)` and `vec(B)=hat(i)+2hat(j)+2hat(k)`, find the magnitude of compinent of `(vec(A)+vec(B))` along `vec(B)`A. `4` unitB. `5` unitC. `6` unitD. `7` unit |
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Answer» Correct Answer - B `vec(A)+vec(B)=3hat(i)+3hat(j)+3hat(k)=3(hat(i)+hat(j)+hat(k))` component of `(vec(A)+vec(B))` along `vec(B)=((vec(A)+vec(B)).vec(B))/(B)` `=3xx((1+2+2))/(3)=5` |
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