Question

The vector u has magnitude 6 and direction 330°. If vector v = =-u, then what is

Answer 1

$\qquad\qquad\huge\underline{{\sf Answer}}$

Here we go ~

It's been given that :

$\qquad \sf \dashrightarrow \: \vec{v} = - \vec{u}$

And magnitude of vector u is 6 units and with a direction 330°

And we are asked to find the magnitude and direction of vector v ~

So, let's get stated ~

As we can observe, vector v and vector u have equal magnitude because they have equal sign between them.

that is :

$\qquad \sf \dashrightarrow \: | \vec{v} | = | \vec{u}|$

$\qquad \sf \dashrightarrow \: | \vec{v}| = 6 \: units$

And the negative sign in the equation shows that the two vector have opposite directions or you can say they are anti-paralllel.

So, we can just rotate vector u by 180° to get vector v ~

$\qquad \sf \dashrightarrow \: \hat{n} = 330 \degree - 180 \degree$

$\qquad \sf \dashrightarrow \: \hat{n} = 150 \degree$

Conclusion :

• vector v has magnitude of 6 units and direction 150°