AP EAMCET · PHYSICS · Mathematics in Physics
Which of the following statements is true regarding the vector product of two vectors?
- A The vector product of two vectors changes sign under reflection
- B Vector product is commutative.
- C Vector product of two parallel vectors is a null vector.
- D Vector product of two vectors is a scalar.
Answer & Solution
Correct Answer
(C) Vector product of two parallel vectors is a null vector.
Step-by-step Solution
Detailed explanation
Vector product of two parallel vectors \(\overrightarrow{\mathrm{A}} \cdot \overrightarrow{\mathrm{B}}=\mathrm{AB} \cos \theta ; \theta=\frac{\pi}{2}\) \(\therefore \overrightarrow{\mathrm{A}} \cdot \overrightarrow{\mathrm{B}}=\mathrm{AB} \cos \left(\frac{\pi}{2}\right)=0\) Thus…
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