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 freeDetermine whether each of the statements that follow is true or false. If a statement is true, explain why. If a statement is false, provide a counterexample.
(a) True or False: The sum formulas in Theorem 4.4 can be applied only to sums whose starting index value is .
(b) True or False: is equal to .
(c) True or False: is equal to .
(d) True or False: is equal to .
(e) True or False: is equal to.
(f) True or False: .
(g) True or False: .
(h) True or False: .
Find and . Also sketchand .
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In Exercises 20-23, find the dot product of the given pairs of vectors and the angle between the two vectors.
In 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.
Find and . Also, sketch and .
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