Determine the scalar product of A= 3.0i + 1.0j - 2.0k and B= 3.0i - 2.0j - 3.0k .
take the dot product...
remember i dot i is 1, j dot j is 1, k dot k is 1, whereas any of the ij, jk, ki dot products is zero.
I will start you.
A dot B= 3i dot 3i + 1j dot(-2j) + ....
A.B=9+(-2)+ ...
then add them
To determine the scalar product (also known as the dot product) of two vectors:
1. Write down the components of the two vectors.
Vector A: 3.0i + 1.0j - 2.0k
Vector B: 3.0i - 2.0j - 3.0k
2. Multiply the corresponding components of the two vectors.
(3.0 * 3.0) + (1.0 * -2.0) + (-2.0 * -3.0)
3. Sum up the products obtained in step 2.
(9.0) + (-2.0) + (6.0)
4. Simplify the result.
13.0
Therefore, the scalar product of A and B is 13.0.