Question

Consider two vectors, A and B, in the Cartesian coordinate system. Vector A begins at the origin, and extends to the point (3, 0, 0). Vector B begins at the origin and extends to the point (0, 2, 0). What vector is the result of B x A?

A. (0, 0, 6)
B. (0, 0, -6)
C. (0, 6)
D. (3, 2)
please Help!!! 50 points!!!

Answer 1

B

Explanation:

x: (0×2) - (0×0) = 0

y: -[(0×2) - (3×0)] = 0

z: (0×0) - (3×2) = -6

(0,0,-6)

Answer 2

B. (0, 0, -6)

Explanation:

`\vec{B}*\vec{A}=\left|\begin{array}{ccc}i&j&k\\0&2&0\\3&0&0\end{array}\right|=-6k`

In Cartesian coordinates, this is represented by (0, 0, -6).