Question

If `veca` is a non zero vector of magnitude `a` and `lambda` `veca` non-zero scolor, then `lambda` is a unit vector of.

Options

• `lambda = 1`

• `lambda = - 1`

• `a = |lambda|`

• `a = 1/|lambda|`

Answer 1

`a = 1/|lambda|`

Explanation:

`veca` is a non-zero vector of magnitude, a

⇒ `|veca| = a`

Now, `lambda veca` is a unit vector, if

`|lambda * veca|` = 1 or `|lambda||veca|` = 1

or `a` = 1 ∴ `a = 1/|lambda|`