Chapter 10: Q. 42 (page 777)
Find the angle between two distinct diagonals of a cube.
Short Answer
The angle between two distinct diagonals of a cube is \(\frac{\pi }{6}\).
Chapter 10: Q. 42 (page 777)
Find the angle between two distinct diagonals of a cube.
The angle between two distinct diagonals of a cube is \(\frac{\pi }{6}\).
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Get started for freeIn Exercises 36โ41 use the given sets of points to find:
(a) A nonzero vector N perpendicular to the plane determined by the points.
(b) Two unit vectors perpendicular to the plane determined by the points.
(c) The area of the triangle determined by the points.
What is a parallelepiped? What is meant by the parallelepiped determined by the vectors u, v and w? How do you find the volume of the parallelepiped determined by u, v and w?
In Exercises 37โ42, find and find the unit vector in the direction of v.
What is meant by the parallelogram determined by vectors u and v in ? How do you find the area of this parallelogram?
In Exercises 37โ42, find and find the unit vector in the direction of v.
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