Chapter 10: Q .11 (page 811)
What geometric relationship must two vectors have in order for ?
Short Answer
The geometric relationship between the vectors is that they are parallel to each other and are in same direction.
Chapter 10: Q .11 (page 811)
What geometric relationship must two vectors have in order for ?
The geometric relationship between the vectors is that they are parallel to each other and are in same direction.
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Get started for freeIn Exercises 36–41 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.
(Hint: Think of the -plane as part of .)
Find a vector in the direction of and with magnitude 2.
In Exercises 30–35 compute the indicated quantities when
In Exercises 36–41 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.
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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