A) \[A.B=3\]
B) \[A.B=4\]
C) \[A.B=-4\]
D) \[A.B=-3\]
Correct Answer: D
Solution :
Given, \[A=2\hat{i}+2\hat{j}-\hat{k}\] and \[B=-\hat{j}+\hat{k}\] Scalar product \[A.B=(2\hat{i}+2\hat{j}-\hat{k}).(-\hat{j}+\hat{k})\] Using \[\hat{i}.\hat{i}=1,\,\,\hat{j}.\hat{j}=1,\,\hat{k}.\hat{k}=1\]=1we have \[A.B=-2-1=-3\]You need to login to perform this action.
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