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Home » Let     and     be two unit vectors and     is the angle between them. Then     is a unit vector if (A)     (B)     (C)     (D)    
Let

    \[\overrightarrow{a}\]

and

    \[\overrightarrow{b}\]

be two unit vectors and

    \[\theta \]

is the angle between them. Then

    \[\overrightarrow{a}+\overrightarrow{b}\]

is a unit vector if (A)

    \[\theta =\frac{\pi }{4}\]

(B)

    \[\theta =\frac{\pi }{3}\]

(C)

    \[\theta =\frac{\pi }{2}\]

(D)

    \[\theta =\frac{2\pi }{3}\]

CBSE | Class 12 | Maths | Miscellaneous | NCERT | Vector Algebra
Let

    \[\overrightarrow{a}\]

and

    \[\overrightarrow{b}\]

be two unit vectors and

    \[\theta \]

is the angle between them. Then

    \[\overrightarrow{a}+\overrightarrow{b}\]

is a unit vector if (A)

    \[\theta =\frac{\pi }{4}\]

(B)

    \[\theta =\frac{\pi }{3}\]

(C)

    \[\theta =\frac{\pi }{2}\]

(D)

    \[\theta =\frac{2\pi }{3}\]

Here the correct answer is option d

i

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