1. Two diagonals of a parallelogram represent the vector: a = 3i-5j + 2k and the vector: b = -i+2j-3k. Find the area of

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1 Two Diagonals Of A Parallelogram Represent The Vector A 3i 5j 2k And The Vector B I 2j 3k Find The Area Of 1 (756.97 KiB) Viewed 10 times

1. Two diagonals of a parallelogram represent the vector: a = 3i-5j + 2k and the vector: b = -i+2j-3k. Find the area of the parallelogram. 2. Use vectors to find the volume of the tetrahedron whose vertices are at the points P(-1,2,4), A(3, 0,-1), B(1, -2,-4) and C(2,3, 1). 3. Find a unit vector perpendicular to the vector 3i+j- 4k and parallel to the plane containing the vectors: 2i-3j+k and -i +4j+ 2k 4. Prove that (bxc) (axd) + (cxa). (bxd) + (axb) (cxd) = 0 5. Using vectors find the equation of the plane that is perpendicular to the line having parametric equations: x = 2-3t, y = -1+t, z = 3-4t and that passes through the point (3,-2,1). . 6. Use vectors to find a set of parametric equations for the line of intersection of the planes: x + 2y + 3z = 1 and 3x + 2y + z = 2.