# Vector

Determine the value of a+b if |3a| = 24 cm, |2b| = 10 cm and |3a-2b| = 20

1. 0
2. 0
3. 17
1. I think something is wrong with your exercise, there is no a and b that match |3a| = 24 cm, |2b| = 10 that can get |3a-2b| = 20 .

Check image.
imgur(dot)com/08eylng(dot)jpg

1. 0
2. 0
posted by Arnau EC
2. This question was given to the class for a test and I have no idea how to do it.

We were given a similar question
imgur(dot)com/a/1P9wGFK

1. 0
2. 0
posted by Joe
3. let's suppose a lies along the x-axis, and that 3a-2b makes an angle of θ with a. Then
|-2b|^2 = |3a|^2 + |3a-2b|^2 - 2*|3a|*|3a-2b|*cosθ
100 = 576+400-2*24*20cosθ
θ=24.15°
Then |-2b| makes an angle of 125.1° with |3a|
The components of -2b are thus (-5.75,8.18)
So, b=(2.87,-4.09) and a=(8,0)
and a+b = (10.87,-4.09)

1. 0
2. 0
posted by Steve

## Similar Questions

1. ### Physics

At t = 0, a 785 g mass at rest on the end of a horizontal spring (k = 125 N/m) is struck by a hammer, which gives the mass an initial speed of 2.70 m/s. (a) Determine the period of the motion. T= .4979201367s Determine the

asked by Anon on December 8, 2010
2. ### Physics

The equation of a transverse wave traveling along a very long string is given by y = 5.2 sin(0.013π|x + 4.7π|t), where x and y are expressed in centimeters and t is in seconds. (a) Determine the amplitude. (b) Determine the

asked by Kyle on December 4, 2011
3. ### Biology

Why would the GBI (Georgia Bureau of Investigation) want to use gel electrophoresis? A. Determine if someone has a genetic disease B. Determine the paternity of a child C. Determine the proper genetic sequence to make insulin D.

asked by Amber on February 2, 2017
4. ### Physics

The position of a particle is given by the expression x = 2.00 cos (6.00πt + π), where x is in meters and t is in seconds. (a) Determine the frequency. ______Hz (b) Determine period of the motion. ______s (c) Determine the

asked by Mark on August 5, 2015

How can you determine if the given lines are perpendicular? Line 1: (-1,3) and (3,-3) Line 2: (-3,0) and (3,3) A)determine if they have slopes with opposite values*** B)determine if they have the same slope C)determine if the

asked by Sarah on April 29, 2015
6. ### American Goverment

What is the main function of the State Department? A. to determine foreign policy B. to determine domestic policy C. to determine financial policy D. to determine military policy ?

asked by lalt on February 16, 2012
7. ### PHysics

A 250 kg load is lifted 23 m vertically with an acceleration a = 0.185g by a single cable Determine the tension of the cable. =2900N Determine the net work done on the load. =? Determine the work done by the cable on the load.

asked by Arthur on February 25, 2011
8. ### Ap physics

Four resistors are connected to a battery with a terminal voltage of 12.0 V, (R1 = 40.0 , R2 = 80.0 , R3 = 140.0 and R4 = 15.0 ) (a) Determine the equivalent resistance for the circuit. 1 (b) Determine the current in the battery.

asked by Amelia on May 11, 2012
9. ### Physics

A 285-kg load is lifted 22.0 m vertically with an acceleration a=0.170 g by a single cable. Determine the tension in the cable. (N) Determine the net work done on the load. (J) Determine the work done by the cable on the load.

asked by Eden on October 17, 2010
10. ### Physics

A 240 g mass is attached to a spring of constant k = 5.4 N/m and set into oscillation with amplitude A = 26 cm. (a) Determine the frequency of the system in hertz. (b) Determine the period. (c) Determine the maximum velocity of

asked by Jill on November 12, 2012
11. ### Physics urgent help needed!

Suppose the position of an object is given by ->r(vector) = (3.0t^2*ihat - 6.0t^3*jhat)m. Where t in seconds. Determine its velocity ->v as a function of time t. Determine its acceleration ->a as a function of time t. Determine

asked by How do you do this? on September 13, 2009

More Similar Questions