Mathematics

Mathematics

Problem

Let

\mathbf{u}=2\hat i-\hat j+3\hat k

and

\mathbf{v}=4\hat i-2\hat j+6\hat k

. Which one of the following describes the relation between

\mathbf{u}

and

\mathbf{v}

? a)

\mathbf{u}

and

\mathbf{v}

are perpendicular

(90^{\circ})

. b) The angle between

\mathbf{u}

and

\mathbf{v}

is

60^{\circ}

(acute but non-zero). c)

\mathbf{u}

and

\mathbf{v}

are parallel

(0^{\circ})

. d)

\mathbf{u}

and

\mathbf{v}

are anti-parallel

(180^{\circ})

."

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