Question

The dot product of u with itself is 24. what is the magnitude of u?

Answer 1

Answer - u = 4.8989

u ^ 2 = 24

u = sqrt (24)

u = 4.8989

Answer 2

`2\sqrt6`

Explanation:

We have been given that the dot product if u with itself is 24.

Now, we know that the dot product of vector a and b is given by

`a\cdot b=|a||b|\cos\theta`

Here,
`\theta` is the angle between the vectors a and b.

We have to find the dot product of u with itself. Hence,

a = u

b = u

`\theta=0`

Thus, dot product is given by

`u\cdot u=|u||u|\cos0\\\\24=|u||u|\cdot1\\\\|u|^2=24\\\\|u|=2\sqrt6`

Thus, the magnitude of u is
`2\sqrt6`