Posted by **Jamie** on Friday, October 6, 2006 at 5:02pm.

Use the definition of scalar product( vector A* vector B = abcos theda and the fact that vector A * vector B = axbx+ ayby+azbz to calculate the angle between the two vectorgiven by vector A= 3i + 3j + 3k and vector B= 2i + 1j + 3k.

The book said the answer is 22 degreess but I can figure out how to get 22 degrees can you help me?

The magnitude of AdotB is sqrt (9+9+9)sqrt(4+1+9)=sqrt (27*14)=19.44

but the dot product is then 19.44*cosTheta

Now, the dot product is equal to (from vector notation i*i + j*j + k*k

(3*2 + 3*1 + 3*3)

Set this equal to 19.44cosTheta, and solve for cos Theta.

- Physics -
**Anonymous**, Tuesday, March 10, 2015 at 11:22am
memorandum

## Answer this Question

## Related Questions

- calculus - State whether or not the following statements are true. Justify your ...
- Calculus - Dot Product - consider a rhombus ABCD a) find the resultant of vector...
- Physics - You are given vectors A = 5.0i - 6.5j & B = -3.5i + 7.0j. A third ...
- Vectors - Verify using an example that Vector a + (Vector b • Vector c) is not ...
- Mathematics - Dot Product - Consider rhombus ABCD a) Find the resultants of ...
- Math - vectors - In the product F(vector)=q(V(vector)xB(vector), take q = 4, V(...
- Physics - Let vector A = 4i^ + 4j^, vector B = -2i^ - 5j^, and vector F = vector...
- Physics - Let vector A = 4i^ + 4j^, vector B = -2i^ - 5j^, and vector F = vector...
- Physics - What are the products (either vector or scalar for each answer) of: a...
- science(physics) - vector a+ vector b= 2i Vector a+ vector b=4j Then the angle ...