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Find the corresponding position vector. Define the points P = (5, 7) and Q = (-1, 3). Find the position vector corresponding to .

Find the triple scalar product (u x v) ∙ w of the given vectors.u = -5i – 3j + 4k; v = 5i – 2j + 2k; w = 5i – 9j – 10k

Find projwv.v = -2i + 5j; w = -2i + j

Find the line of intersection between the two planes.-5x + 6y = 7    and    5y – 5z = 5

Find the line of intersection between the two planes.-2x + 2y = -2   and   -2y + 5z = 4

Write the equation for the plane.The plane through the points P(-1, 4, -23) , Q(2, 2, 2) and R(1, -6, 11)

Write the equation for the plane.The plane through the points P(-1, 3, -8) , Q(2, 3, 1) and R(1, -8, 31).

Solve the problem.A bullet is fired with a muzzle velocity of 1196 ft/sec from a gun aimed at an angle of 10° above the horizontal. Find the horizontal component of the velocity.

Perform the indicated operation.v = -5i + 2j – 3k and w = -4i – 3j + 2kFind | v | – | w | .   Type your answer in the given answer box.  You may need to use the equation editor found in the editing menu.  If the equation editor is not showing, click on the three vertical dots to expand the menu.  

Find projwv.v = 3i – 2j; w = -2i + j