If vectors A and B are given by A =5 i +6 j +3 k and B =6 i -2 j -6 k . Which of the…
Physics · JEE Advanced · NTA Exams — Physics and Measurement
If vectors \(\vec{A}\) and \(\vec{B}\) are given by \(\vec{A}=5 \hat{i}+6 \hat{j}+3 \hat{k}\) and \(\vec{B}=6 \hat{i}-2 \hat{j}-6 \hat{k}\). Which of the following is/are correct?
- \(\vec{A}\) and \(\vec{B}\) are mutually perpendicular
- product of \(\vec{A} \times \vec{B}\) is the same \(\vec{B} \times \vec{A}\)
- the magnitude of \(\vec{A}\) and \(\vec{B}\) are equal
- the magnitude of \(\vec{A} \cdot \vec{B}\) is zero
Answer
(A) A and B are mutually perpendicular, (D) the magnitude of A B is zero
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