Find the distance from P1 to P2.P1 = (1, 0, -2) and P2 = (3, 2, 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:  ( [xvalue], [yvalue], [zvalue] ) Radius:  [radius]

Solve the problem.A pilot wants to fly on a bearing of N 62.7° E. By flying due east, he finds that a 55-mph wind, blowing from the south, puts him on course. Find the airspeed of the plane.

Solve the problem. (Give your answer as a terminating decimal.)Find x so that the vectors v = i + xj and w = -3i + 5j are orthogonal.

Give a geometric description of the set of points whose coordinates satisfy the given conditions. x2 + y2 + z2 ≥ 1

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.

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

Find the center and radius of the sphere.x2 + y2 + z2 – 20x – 4y + 2z = -96 Center:  ( [xvalue], [yvalue], [zvalue] ) Radius:  [radius]

Solve the problem.A bullet is fired with a muzzle velocity of 1401 ft/sec from a gun aimed at an angle of 15° above the horizontal. Find the horizontal component of the velocity.