Problem: A cube is placed so that one corner is at the origin and three edges are along the x-, y-, and z -axes of a coordinate system (the figure ). Use vectors to answer the questions.Find the angle between the edge along the z-axis (line ab) and the diagonal from the origin to the opposite corner (line ad).Find the angle between line ac (the diagonal of a face) and line ad .

⚠️Our tutors found the solution shown to be helpful for the problem you're searching for. We don't have the exact solution yet.

FREE Expert Solution
Problem Details

A cube is placed so that one corner is at the origin and three edges are along the x-, y-, and z -axes of a coordinate system (the figure A cube is placed so that one corner (labeled as point a) is at the origin and three edges are along the positive x, y, and z axes. The corner that lies on the z axis is labeled as b. The corner that lies in the yz plane is labeled as c. The corner opposite to the origin is labeled as d.). Use vectors to answer the questions.

Find the angle between the edge along the z-axis (line ab) and the diagonal from the origin to the opposite corner (line ad).

Find the angle between line ac (the diagonal of a face) and line ad .

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Vector Composition & Decomposition concept. If you need more Vector Composition & Decomposition practice, you can also practice Vector Composition & Decomposition practice problems.