Exam 12: Vectors and the Geometry of Space

A woman walks due west on the deck of a ship at The ship is moving north at a speed of Find the speed of the woman relative to the surface of the water.Round the result to the nearest tenth.

Select the correct Answer: for each question. -Find correct to three decimal places where

Write inequalities to describe the solid rectangular box in the first octant bounded by the planes

Find a nonzero vector orthogonal to the plane through the points P, Q, and R.Select the correct Answer

Find an equation of the plane through the origin and parallel to the plane

a.Find an equation of the sphere that passes through the point and has center b.Find the curve in which this sphere intersects the xy-plane.

Select the correct Answer for each question. -Find a nonzero vector orthogonal to the plane through the points P, Q, and R.

Select the correct Answer for each question. -Find an equation of the sphere with center that touches the xy-plane.

Select the correct Answer: for each question. -Find the distance between the planes.

Find the work done by a force that moves an object from the point to the point along a straight line.The distance is measured in meters and the force in newtons.Select the correct Answer

Find an equation of the set of all points equidistant from the points and

Find parametric equations for the line through

A woman walks due west on the deck of a ship at mi/h.The ship is moving north at a speed of Find the speed of the woman relative to the surface of the water.Round the result to the nearest tenth.

Select the correct Answer: for each question. -Find the midpoint of the line segment joining the given points.(4, -2, -3) and (6, -4, -1)

Select the correct Answer for each question. -Find that the midpoint of the line segment from

Find the center and the radius of the sphere that has the given equation.

Find the magnitude of the torque about P correct to two decimal places if a force is applied as shown.

Find the midpoint of the line segment joining the given points.Select the correct Answer(0, -1, -3) and (2, -3, -1)

Select the correct Answer for each question. -Suppose you start at the origin, move along the x-axis a distance of units in the positive direction, and then move downward a distance of units.What are the coordinates of your position?

Select the correct Answer for each question. -Find the work done by a force that moves an object from the point to the point along a straight line.The distance is measured in meters and the force in newtons.