Question

what is meant by mull vector and position vector.find unit vector in the direction of the vactor 3i-4j​

Answer 1

Null vector-->

• It is a vector with magnitude zero and undefined direction.
• It is also known as zero vector.

Position vector-->

• It is a vector which is used to specify the position of certain object.

--> Unit vector = vector/ magnitude

Vector = 3i - 4j

Magnitude = √[(3)²+(-4)²]

= √[ 9 +16 ]

= √25

= 5

Unit vector

= vector/ magnitude

$= \frac{3i - 4j}{5} \: \: \: \\ \\ = \frac{3}{5} i \: - \frac{4}{5} j$