A) \[\vec{B}\] is parallel to \[\vec{C}+\vec{D}\]
B) \[\vec{A}\] is perpendicular to \[\vec{C}\]
C) component of \[\vec{C}\] along \[\vec{A}=\] component of \[\vec{D}\] along \[\vec{A}\]
D) component of \[\vec{C}\] along \[\vec{A}=-\] component of\[\vec{D}\] along \[\vec{A}\]
Correct Answer: D
Solution :
| [d] \[\left( \vec{C}+\vec{D} \right)\] is perpendicular to \[\vec{A}\] |
| \[\therefore \] \[\overrightarrow{A}.\left( \vec{C}+\vec{D} \right)=0\] |
| or \[\vec{A}.\vec{C}+\vec{A}.\vec{D}=0\] |
| or A (component of \[\vec{C}\] along A) |
| +A (component of \[\vec{D}\] along A) = 0 |
| or Component of \[\vec{C}\] along A |
| = ? component of \[\vec{D}\] along A. |
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