Question

which of the following is a unit vector?
(1)i^+j^.
(2)√2i^+√2j^.
(3)1/√3(i^+j^).
(4) 1/√2(i^-j^)​

Answer 1

Answer:

A vector is a quantity that has both magnitudes, as well as direction. A vector that has a magnitude of 1 is a unit vector. It is also known as Direction Vector.

1.

$\sqrt{1 + 1} = \sqrt{2}$

2.

$\sqrt{2 + 2} = \sqrt{4} = 2$

3.

$\sqrt{ \frac{1}{3} + \frac{1}{3} } = \sqrt{ \frac{2}{3} }$

4.

$\sqrt{ \frac{1}{2} + \frac{1}{2} } = \sqrt{ \frac{2}{2} } = 1$