Solution Found!
(a) If does it necessarily follow that A = 0 or B = 0
Chapter 1, Problem 25DQ(choose chapter or problem)
QUESTION:
(a) If \(\overrightarrow{\boldsymbol{A}} \cdot \overrightarrow{\boldsymbol{B}}=0\), If does it necessarily follow that A = 0 or B = 0?Explain.
(b) If \(\vec{A} \times \vec{B}=0\) does it necessarily follow that A = 0 or B = 0? Explain.
Questions & Answers
QUESTION:
(a) If \(\overrightarrow{\boldsymbol{A}} \cdot \overrightarrow{\boldsymbol{B}}=0\), If does it necessarily follow that A = 0 or B = 0?Explain.
(b) If \(\vec{A} \times \vec{B}=0\) does it necessarily follow that A = 0 or B = 0? Explain.
ANSWER:Step 1 of 3
Given data:
The dot product of two vectors A and B is zero as \(\vec A \cdot \vec B = 0\).
The cross product of two vectors A and B is zero as \(\vec A \times \vec B = 0\)