# math;)

Find the unit vector in the direction of u=(-3,2). Write your answer as a linear combination of the standard unit vectors i and j.
a. u=-3[sqrt(13)/13]i+2[sqrt(13)/13]j
b. u=-3[sqrt(5)/5]i+2[sqrt(5)/5]j
c. u=3[sqrt(5)/5]i-2[sqrt(5)/5]j
d. u=3[sqrt(13)/13]i+2[sqrt(13)/13]j

I do not understand this. Can someone please explain it to me?

1. 👍
2. 👎
3. 👁
1. |u| = √(9+4) = √13
So, divide u by its length to get a unit vector (length=1)

so, (a)

If you've advanced to the point where you're studying vectors, your teacher should stop insisting on rational denominators. I much prefer 1/√13 to the cumbersome √13/13

just sayin' ...

1. 👍
2. 👎
2. Hey is there any way that we could talk one on one? Im pretty sure were im the same math class as you and want some help pls!! :))

1. 👍
2. 👎

## Similar Questions

1. ### Math

Find a unit vector u in the direction opposite of ⟨−3,−9,−9⟩.

2. ### Physics

There are two forces on the 2.36 kg box in the overhead view of Fig. 5-31 but only one is shown. For F1 = 18.6 N, a = 11.4 m/s2, and θ = 26.7°, find the second force (a) in unit-vector notation and as (b) a magnitude and (c) a

3. ### precalculus

Find the horizontal and vertical components of the vector with the given length and direction, and write the vector in terms of the vectors i and j. |v| = 24, θ = 30°

4. ### physics

Vector V represents a displacement of 120 km at 29.0 degrees counterclockwise from the x axis. Write V in unit vector notation. Express your answer using three significant figures. V= _______ km i know the answer should be

1. ### MATH

Find the vector v with the given magnitude and the same direction as u. Magnitude: ||v|| = 8 Direction: u = ‹6, -6› STEP 1: Find the magnitude of u. STEP 2: Use your result from Step 1 to compute a unit vector, u1, in the same

2. ### physics

Any vector can be written as a unit vector multiplied by the magnitude of the vector (a positive scalar). Write each of the following vectors as the magnitude of the vector times the appropriate unit vector: < 0.00330, 0, -0.00330

3. ### science (physics) Need to solve this today please

(a) Express the vectors A, B, and C in the figure below in terms of unit vectors. (b) Use unit vector notation to find the vectors R = A + B + C and S = C – A – B. (c) What are the magnitude and directions of vectors R and S?

4. ### Physics

Find the unit vector of direction for the following vector quantities. (a) force F = (9.0î − 6.0ĵ) N F hat = (b) displacement D = (−4.0î − 8.0ĵ) m D hat = (c) velocity v = (−3.50î + 6.50ĵ) m/s v hat =

1. ### physics

Vector vector A has a magnitude of 27 units and points in the positive y-direction. When vector vector B is added to vector A , the resultant vector vector A + vector B points in the negative y-direction with a magnitude of 18

2. ### Math: Vectors

Find any vector w that is perpendicular to both vector "u = 3j + 4k" and vector "v = 2i". Note: i, j and k are unit vectors How would you solve this problem? Please walk me through?

3. ### calculus

Find a vector that has the same direction as the given vector but has length 6. ‹-2, -2, 4› I know how to find a unit vector of this, but to find a vector in the same direction but length >1 I'm not sure how to determine the

4. ### Math: Equations of Line in a Plane

I'm stuck on these questions. Can you please show me a step by step solution? 20) For each of the following, find a normal vector, a direction vector, and a point of each line. Note, normal vector means perpendicular to the