Question

I'm think it's b is it?
Let u = <-4, -3>. Find the unit vector in the direction of u, and write your answer in component form.



<1, 1>

Answer 1

\(Unit~Vector = \dfrac{\mathbf u}{||~\mathbf u~||}\)

Answer 2

So how do I find the denominator?

Answer 3

\(||~\mathbf u~||\) is magnitude of \(\mathbf u\), So you basically use pythagorean theorem to find it.

\[||~\mathbf u~|| = \sqrt{(-4)^2+(-3)^2}\]

Does that make sense?

Answer 4

Umm let me try to solve it

Answer 5

So 5i

Answer 6

Or would the denominator be 25 and not five @geerky42

Answer 7

\(=\sqrt{(-4)^2+(-3)^2}\\~\\=\sqrt{16+9} \\~\\=\sqrt{25}\\~\\=5\)

So denominator would be 5.

Answer 8

So you have unit vector = \(\dfrac{\mathbf u}{5}\)

Answer 9

Oh so if you sqaure a number it becomes positive

Answer 10

Yes, squaring negative number will get you positive number.

Answer 11

Always.

Answer 12

Oh okay thanks :)

Answer 13

Welcome! You can handle the rest on your own?

Answer 14

Umm I believe so but I have another question that's a tad different
Two forces with magnitudes of 100 and 50 pounds act on an object at angles of 50° and 160° respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.

Answer 15

Two forces with magnitudes of 100 and 50 pounds act on an object at angles of 50° and 160° respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.

Answer 16

Pounds act on an object at angles of 50° and 160° respectively.

Answer 17

Degree in place of all those boxes

Answer 18

@geerky42