Vector that must be added to vector hat{i} - 3hat{j} + 2hat{k} and 3hat{i} + 6hat{j} - 7hat{k} so th

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3-1.Vectors

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The vector that must be added to the vector $\hat i - 3\hat j + 2\hat k$ and $3\hat i + 6\hat j - 7\hat k$ so that the resultant vector is a unit vector along the $y-$axis is

A

$4\hat i + 2\hat j + 5\hat k$

B

$ - 4\hat i - 2\hat j + 5\hat k$

C

$3\hat i + 4\hat j + 5\hat k$

D

Null vector

Solution

(b) Unit vector along y axis $ = \hat j$ so the required vector

$ = \hat j – [(\hat i – 3\hat j + 2\hat k) + (3\hat i + 6\hat j – 7\hat k)]$

$ = – \,4\hat i – \,2\hat j + 5\hat k$

Standard 11

Physics

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