Question

If , then select the correct alternative.

• A. is parallel to
• B. $\vec { A }$ is perpendicular to
• C. Component of $\overleftrightarrow { \mathrm { C } }$ along = component of along
• D. Component of $\overleftrightarrow { \mathrm { C } }$ along = - component of along $\vec { A }$

Answer 1

Answer: (D)

Component of $\overleftrightarrow { \mathrm { C } }$ along = - component of along $\vec { A }$

Answer 2

According to definitions of cross – product $\overrightarrow { \mathrm { C } } + \overrightarrow { \mathrm { D } }$ is perpendicular to both $\vec { A }$ and $\vec { B }$.

i.e.,

or

or A (component of $\overrightarrow { \mathrm { C } }$ along $\overrightarrow { \mathrm { A } }$ )

+A (component of $\vec { D }$ along ) =0

Or component of along =- component of along