# Science

posted by .

We have a problem in AP Physics that we just can't get. It has to do with vector addition. The problem is:

If aA+bB+C=0, find the magnitudes of a and b.

*A, B, and C are vectors*
*i and j are unite vectors*
A=(6.0i-8.0j)units
B=(-8.0i+3.0j)units
C=(26.0i-19.0j)units

How is that possible without a second equation for the relationship between a and b? You can't do substitution or anything. And by lokking at it for an extended period of time, we found that a=5 and b=7 works, but we don't know how to find that using algebra.

help??

• Science -

You have a second equation. Do the i, j separately..

i:
6a -8b+26=0
j
-a8+3b-19=0

solve for a,b

## Similar Questions

1. ### Physics

The two vectors a and b have equal magnitudes(on an x-y plane vector a is 30 degrees from the x axis then vector b is 75 degrees from the head of vector a it is heading towards north west) of 10m A)find the x component of their vector …
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?
3. ### physics [vectors]

The concept i get, but somehow i just can't execute this problem, please help me! You are given vectors A = 5.5 6.2 and B = - 3.7 7.4 . A third vector C lies in the xy-plane. Vector C is perpendicular to vector A and the scalar product …
4. ### PHYSICS VECTORS

1. The problem statement, all variables and given/known data Find the vector product of Vector A cross Vector B(expressed in unit vectors) of the two vectors. What is the magnitude of the vector product?
5. ### physics

Two vectors have magnitudes V1 = 1.5 km and V2 = 4.5 km. What are the maximum and minimum magnitudes of their vector sum?
6. ### Vectors

Two vectors, A and B, are added by means of vector addition to give a resultant vector R. The magnitudes of A and B are 9 m and 8 m, respectively, and they can have any orientation. What are the maximum and minimum possible values …
7. ### URGENT - Vectors

Two vectors, A and B, are added by means of vector addition to give a resultant vector R. The magnitudes of A and B are 9 m and 8 m, respectively, and they can have any orientation. What are the maximum and minimum possible values …
8. ### Physics

2. We have two vectors that line in the x-y plane. If we take the cross-product of those two vectors we know that a. the magnitude of the cross-product will always be equal to the product of the magnitudes of the two vectors. b. the …
9. ### physics

Vector has a magnitude of 136 units and points 35.0 ° north of west. Vector points 69.0 ° east of north. Vector points 19.0 ° west of south. These three vectors add to give a resultant vector that is zero. Using components, find …
10. ### Vectors

Verify using an example that Vector a + (Vector b • Vector c) is not equal to (Vector a + Vector b) • (Vector a +Vector c). (This means that addition does not distribute over the dot product.) Explain the problem that arises.

More Similar Questions