Question

show that a=icap-jcap/root2 is a unit vector​

Answer 1

Explanation:

i cap/√2 - j cap /√2

1/√2 i cap - 1/√2 j cap

whole √1/2-1/2

=√0 so...

Answer 2

Answer with Explanation:

We are given that a vector

$\vec{a}=\frac{\hat{i}-\hat{j}}{\sqrt2}=\frac{\hat{i}}{\sqrt2}-\frac{\hat{j}}{\sqrt2}$

We have to show that given vector is a unit vector.

Unit vector : It is that vector whose magnitude is equal to 1.

$\mid\vec{a}\mid =\sqrt{(\frac{1}{\sqrt2})^2+(\frac{-1}{\sqrt2})^2}$

$\mid\vec{a}\mid=\sqrt{\frac{1+1}{2}}=\sqrt{\frac{2}{2}}=1$

The magnitude of a is 1 .Therefore, it is unit vector.

Hence, proved