Question

Find the derivative of the vector function r(t)=ta×(b+tc), where a=⟨2,−3,4⟩, b=⟨−4,5,−1⟩, and c=⟨−2,−1,5⟩.

Answer 1

derivative of the vector function given = ( -16-22t, 14-36t, -2-16t )

Explanation:

given data:

vector function : r(t) = ta*(b+tc)

a = ( 2,-3.4) . b = (-4,5,-1). c = ( -2,-1,5)

to find the derivative of the vector function we will differentiate with respect to x attached below is the detailed solution