Q. Image of the point $P$ with position vector $7\widehat{\mathbf{i}} - \widehat{\mathbf{j}} + 2\widehat{\mathbf{k}}$ in the line whose vector equation is $\overrightarrow{\mathbf{r}} = \left( 9\widehat{\mathbf{i}} + 5\widehat{\mathbf{j}} + 5\widehat{\mathbf{k}}\ \right) + \lambda(\widehat{\mathbf{i}}\mathbf{+}3\widehat{\mathbf{j}}\mathbf{+}5\widehat{\mathbf{k}}\mathbf{)}$ has position vector
A) $- 9\widehat{\mathbf{i}} + 5\widehat{\mathbf{j}} + 2\widehat{\mathbf{k}}$
B) $9\widehat{\mathbf{i}} + 5\widehat{\mathbf{j}} + 2\widehat{\mathbf{k}}$
C) $9\widehat{\mathbf{i}} + 5\widehat{\mathbf{j}} - 2\widehat{\mathbf{k}}$
D) $9\widehat{\mathbf{i}} - 5\widehat{\mathbf{j}} - 2\widehat{\mathbf{k}}$
Explanation
The correct answer is Option C: $9\widehat{\mathbf{i}} + 5\widehat{\mathbf{j}} - 2\widehat{\mathbf{k}}$.
A detailed explanation for this question is being prepared.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.