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) \[5\hat{i}+4\hat{j}+10\hat{k}\]
Correct Answer: B
Solution :
\[\overrightarrow{A}-2\overrightarrow{B}+3\overrightarrow{C}=(2\hat{i}+\hat{j})-2(3\hat{j}-\hat{k})+3(6\hat{i}-2\hat{k})\] \[=2\hat{i}+\hat{j}-6\hat{j}+2\hat{k}+18\hat{i}-6\hat{k}\]=\[20\hat{i}-5\hat{j}-4\hat{k}\]You need to login to perform this action.
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