Chapter 10: Q. 51 (page 777)
Show that the triangle with vertices \((5, 4, −1)\), \((3, 6, −1)\), and \((3, 4, 1)\) is equilateral.
Short Answer
The triangle with given vertices is equilateral.
Chapter 10: Q. 51 (page 777)
Show that the triangle with vertices \((5, 4, −1)\), \((3, 6, −1)\), and \((3, 4, 1)\) is equilateral.
The triangle with given vertices is equilateral.
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Get started for freeIn Exercises 37–42, find and find the unit vector in the direction of v.
In Exercises 30–35 compute the indicated quantities when
role="math" localid="1649434688557"
Find the norm of the vector.
Find also sketch
Determine 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: .
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