3-1.Vectors
medium

माना $\mathop A\limits^ \to = 2\hat i + \hat j,\,B = 3\hat j - \hat k$ तथा $\mathop C\limits^ \to = 6\hat i - 2\hat k$ तो $\mathop A\limits^ \to - 2\mathop B\limits^ \to + 3\mathop C\limits^ \to $ का मान होगा

A$20\hat i + 5\hat j + 4\hat k$
B$20\hat i - 5\hat j - 4\hat k$
C$4\hat i + 5\hat j + 20\hat k$
D$5\hat i + 4\hat j + 10\hat k$

Solution

(b) $\mathop A\limits^ \to – 2\mathop B\limits^ \to + 3\mathop C\limits^ \to = (2\hat i + \hat j) – 2(3\hat j – \hat k) + 3(6\hat i – 2\hat k)$
$ = 2\hat i + \hat j – 6\hat j + 2\hat k + 18\hat i – 6\hat k$
= $20\hat i – 5\hat j – 4\hat k$
Standard 11
Physics

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