The vector \[\frac{1}{3}\,(2\mathbf{i}-2\mathbf{j}+\mathbf{k})\] is [IIT Screening 1994]

Makes an angle \[\frac{\pi }{3}\] with the vector \[2i-4\mathbf{j}+3\mathbf{k}\]

Parallel to the vector \[-\mathbf{i}+\mathbf{j}-\frac{1}{2}\mathbf{k}\]

Perpendicular to the vector \[3\mathbf{i}+2\mathbf{j}-2\mathbf{k}\]

The vector \[\frac{1}{3}\,(2\mathbf{i}-2\mathbf{j}+\mathbf{k})\] is

1.	The vector \[\frac{1}{3}\,(2\mathbf{i}-2\mathbf{j}+\mathbf{k})\] is [IIT Screening 1994]
A.	A unit vector
B.	Makes an angle \[\frac{\pi }{3}\] with the vector \[2i-4\mathbf{j}+3\mathbf{k}\]
C.	Parallel to the vector \[-\mathbf{i}+\mathbf{j}-\frac{1}{2}\mathbf{k}\]
D.	Perpendicular to the vector \[3\mathbf{i}+2\mathbf{j}-2\mathbf{k}\]
Answer» E.

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