# calculus

If 'a' and 'b' are unit vectors that make an angle of 60 degrees with each other, calculate
l 3a - 5b l and l 8a + 3b l

the 'a' and 'b' have a carat of top of them

1. 👍
2. 👎
3. 👁
1. Let a=<1,0>
Then b=<1/2,√3/2>
Now you just add the components.
For example,
2a+3b = <2,0>+<3/2,3√3/2>
and |2a+3b|=√((2+3/2)^2+(0+3√3/2)^2) = √(49/4 + 27/4) = √76/2 = √19

1. 👍
2. 👎

## Similar Questions

1. ### math

Lesson 13: Geometry Unit Test Math 7 B Unit 1: Geometry help It is a unit test and I don't know what to do if you could help me out...……………? David drew a triangle PQR as shown. If angle QPR measures 135 degrees, which

2. ### Physics

The magnitudes of the four displacement vectors shown in the drawing are A = 14.0 m, B = 11.0 m, C = 12.0 m, and D = 25.0 m. Determine the (a) magnitude and (b) direction for the resultant that occurs when these vectors are added

3. ### Math

if vectors a+2b and 5a-4b are perpendicular to each other and a and b are unit vectors. Find the angle between a and b.

4. ### Calculus and Vectors

THE VECTORS a - 5b AND a-b ARE PERPENDICULAR. IF a AND b ARE UNIT VECTORS, THEN DETERMINE a dot b

1. ### Math

1. Hannah drew a pattern using only equilateral triangles. Which of the following statements about the angles is an equilateral triangle is true? A. The measurement of each angle is 60 degrees** B. The measurement of each angle is

2. ### Math

What's the value of the missing angle *picture of a triangle and square put together which basically makes a hexagon. angles are 90 degrees, 90 degrees, 130 degrees, 130 degrees. I have to find the last angle.* A. 50 degrees B. 60

3. ### math

i need help on unit 1 lesson 10 Geometry unit test. Name a pair of complementary angle.

4. ### mathematics

For each of the following, tell how many non congruent triangles PQR fit the given description, and find the size of angle Q. Make a separate diagram for each case. (a) p = 3, q = 5, angle P = 27 degrees (b) p = 8, q = 5, angle P

1. ### Geometry

Angle A and Angle B are complementary andgles and the m Angle A = 58 degrees, what is he measure of the supplement of Angle B. This is what I did Angle A and Angle B = 90 degrees, mAngle A = 58 degrees 90 - 58 = 32 degrees 180 -

2. ### 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?

3. ### PreCalculus

Given vectors u=7i + 3j and v = -4i + 3j, find 5u-4v in terms of unit vectors. I am just beginning the study of vectors and have this problem. Could someone help? Thanks.

4. ### physics

The three displacement vectors in the drawing have magnitudes of A = 5.73 m, B = 6.48 m, and C = 3.12 m. Find the resultant ((a) magnitude and (b) directional angle) of the three vectors by means of the component method. Express