If vector a . vector b = 0 and vector a + vector b makes an angle of 60° with a then:

Question

If \(\overrightarrow a\). \(\overrightarrow b\) = 0 and \(\overrightarrow a + \overrightarrow b\) makes an angle of 60° with a then:

(a) \(|\overrightarrow a|\) = \(\sqrt3 \) \(|\overrightarrow b|\)

(b) \(|\overrightarrow a|\) = 2 \(|\overrightarrow b|\)

(c)  2 \(|\overrightarrow a|\) = \(|\overrightarrow b|\)

(d) \(\sqrt3 \) \(|\overrightarrow a|\) = \(|\overrightarrow b|\)

Answer 1

Correct option is (d) \(\sqrt3 \) \(|\overrightarrow a|\) = \(|\overrightarrow b|\)