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

Match the equation with the surface it defines.x2 + y2 = 81 ​  

Find the unit vector that has the same direction as the vector v.v = 4i – 3j

Give a geometric description of the set of points whose coordinates satisfy the given conditions. x2 + y2 + z2 ≤ 4

Find the specified vector or scalar.u = 4i + j and v = 8i + j; Find  | u + v | . 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 the center and radius of the sphere.x2 + y2 + z2 – 12x – 14y + 2z = -5 Center:  ( , , ) Radius: 

Write the equation for the plane.The plane through the point P(-7, 5, -4) and normal to n =

Identify the type of surface represented by the given equation. + + = 1

Perform the indicated operation.v = -2i – 6j – 3k and w = 2i + 3j + 5kFind  | 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.  

Identify the type of surface represented by the given equation. + =