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Need solution for RD sharma maths class 12 chapter 24 vector or cross product Exercise Multiple choice questions question 20 maths textbook solution

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Answer: \hat{i}.\hat{k}=0

Given: \hat{i},\hat{j},\hat{k}are unit vectors along three mutually perpendicular directions

Hint: Verify all the options


  1. \hat{i}.\hat{j}=1which is false

We know if \hat{i},\hat{j},\hat{k}  are unit vector then \hat{i}.\hat{j}=0

  1. \hat{i}\times \hat{j}=1  which is false        \because of  \hat{i}\times \hat{j}=\hat{k}
  2. \hat{i}.\hat{k}=0 which is true
  3. \hat{i}\times \hat{k}=0 which is false       \because of \hat{i}\times \hat{k}=-\hat{j}
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