Question

If all the components of a vector are equal to 1, then that vector is a unit vector. Group of answer choices True False

Answer 1

If all the components of a vector is equal to 1, then that vector is not a unit vector but $[\sqrt{3}]$.

Answer: False

Explanation:

Unit Vector

A vector which defines the direction of a physical quantity is known as a Unit Vector. For a vector, the unit vector is the vector/ mod of the value. Since the mod of a unit vector is always 1, the value is simply represented as its vector form.

If we take all the components of a vector quantity as 1, then its mod will be,

$\sqrt{1+1+1}$ i.e. $\sqrt{3}$ which is not a unit vector.

Hence, the given statement is false.