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Condition for Coplanarity of Four Points

Let z be a co...

Question

Let z be a complex number. Then the angle between vectors z and iz is

A

π

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B

0

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C

\frac{π}{2}

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D

None of these

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Solution

The correct option is C $\frac{π}{2}$
Let $z = a + i b ∴ i z = - b + i a$
Clearly $a r g (z) . a r g (i z) = - 1$
Hence angle between $z$ and $i z$ is $\frac{π}{2}$

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Condition for Coplanarity of Four Points

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