Vector Algebra Question 215
Question: Locus of the point P, for which $ \overrightarrow{OP} $ represents a vector with direction cosine $ \cos \alpha =\frac{1}{2} $ (where O is the origin) is
Options:
A) a circle parallel to the y-z plane with centre on the x-axis
B) a cone concentric with the positive x-axis having vertex at the origin and the slant height equal to the magnitude of the vector
C) a ray emanating from the origin and making an angle of $ 60{}^\circ $ with the x-axis
D) a disc parallel to the y-z plane with centre on the x-axis and radius equal to $ | \overrightarrow{OP} | $ sin 60°
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Answer:
Correct Answer: B
Solution:
- [b] From the diagram, it is obvious that locus is a cone concentric with the positive x-axis having vertex at the origin and the slant height equal to the magnitude of the vector.
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