229k views
2 votes
Find the angle of intersection of the plane A with the plane B. Express your answer in radians and in degrees.

User Rohit Raj
by
7.7k points

1 Answer

3 votes

Final answer:

To find the angle of intersection between two planes A and B, find the components of the normal vectors of the planes, and use Equation 2.34 to calculate the angle.

Step-by-step explanation:

To find the angle of intersection between two planes A and B, we can find the angle between their normal vectors. The normal vectors can be calculated using the cross product of two vectors that lie in each of the planes. Once we have the normal vectors, we can find the angle between them using Equation 2.34.

First, find the components of vector A and vector B along the x-, y-, and z-axes. Then, use the cross product to find the normal vectors of the planes. Finally, use Equation 2.34 to find the angle of intersection between the two planes, and convert it to both radians and degrees.

User Emeka Augustine
by
8.0k points