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

Answer:

$2\sqrt6$

Step-by-step 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 $2\sqrt6$