Vector Calculus Answers

A triangle has vertices A (-1, 3, 4) B (3, -1, 1) and C (5, 1, 1). The area of ABC is
a) 30.1
b) 82.1
c) 9.1
d) 52.1

Find the intersection of the planes x+ (y-1)+z=0 and -x + (y+1)- z+0

how do I find an equation for the plane that passes through the point ( 2,-1 3) and is perpendicular to to the line v= (1,-2,2,)=+t(3,-2,4)

PROVE that d/du(AxB) = Ax(dB/du) + (dA/du)xB where A,B are differentiated functions of u.

Find the equation of the plane through (1,2,-2) that contains the line x=2t, y=3-t z=1+3t

Find a vector (in 2 space) of length 2 that is parallel to the curve y=x^(2/3) at the point (-8,4)

If A=2i+j+k, B=i-2j+2k, and C=3i-4j+2k, find the projection of A+C in the direction of B.

A triangle has vertices at A(2,3,1), B(-1,1,2), C(1,-2,3). Find a) The length of the median drawn from B to side AC and b)The acute angle which this median makes with side BC.