Question

Which of the following statements is true?

• A. When the coordinate axes are translated the component of a vector in a plane changes
• B. When the coordinate axes are rotated through some angle components of the vector change but the vector's magnitude remains constant
• C. Sum of $ \vec{a} $ and $ \vec{b} $ is $ \vec{R} $ . If the magnitude of $ \vec{a} $ alone is increased angle between $ \vec{b} $ and $ \vec{R} $ decreases
• D. The cross product of $ 3\,\hat{i} $ and $ 4\,\hat{j} $ is 12

Answer 1

Answer: (B)

When coordinate axes are rotated through some angle components of the vector change but the vectors magnitude remains constant.