- #1
Lucian09474
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Homework Statement
For the vectors in a Triangle, with a = 16, b = 12, and c = 20 what are
(a) the magnitude and (b) the direction of A x B
(c) the magnitude and (d) the direction of A x C
(e) the magnitude and (f) the direction B x C
this is Vector Multiplication.
Homework Equations
ABsin(ø)
pythagorean theorem
tan^-1 (y/x)
3. The Attempt at a Solution
16i x 12j = 192 (magnitude of A x B it is correct) and the direction is along the -x axis (believed)
since this is vector multiplication, I realized that the best way to do it was using the determinant. which is a value associated with a square matrix. We can get the above relations following matrix algebra procedures to calculate the determinant of a 3×3 matrix, which in favor ends up giving us the vector product. if I am not mistaken the vector product can be expressed by multiplying the vectors, now here is where the problem arises. multiplying vector is not commutative and when multiplying vectors you get a new one (on the Z direction?)