Vector a⃗ =aiˆ−bkˆ and vector b⃗ =−cjˆ+dkˆ. (a) in terms of the positive scalar quantities a, b, c, and d, what are a⃗ ⋅b⃗ and a⃗ ×b⃗ ? (b) if c=0, what is the magnitude of a⃗ ⋅b⃗ and what are the magnitude and direction of a⃗ ×b⃗ ? does your result for the direction for a⃗ ×b⃗ agree with the result you get if you sketch a⃗ and b⃗ in the xz-plane and apply the right-hand rule? the scalar product can be described as the magnitude of b⃗ times the component of a⃗ that is parallel to b⃗ . does this agree with your result? the magnitude of the vector product can be described as the magnitude of b⃗ times the component of a⃗ that is perpendicular to b⃗ . does this agree with your result?