Concept explainers
Which of the following statements about the relationship between the magnitude of the cross product of two vectors and the product of the magnitudes of the vectors is true? (a)
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Chapter 11 Solutions
Physics for Scientists and Engineers
- Which of the following statements is true about the relationship between the dot product of two vectors and the product of the magnitudes of the vectors? (a) AB is larger than AB. (b) AB is smaller than AB. (c) AB could be larger or smaller than AB, depending on the angle between the vectors. (d) AB could be equal to AB.arrow_forwardFor the two vectors find A − B and |A – B| component of B along A angle between A and B A × B (A − B) × (A + B)arrow_forwardFor what values of a are the vectors A = 2ai − 2j + ak and B = ai + 2aj + 2k perpendicular?arrow_forward
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- 6:16 1 B 17.4 8. Two vectors are presented by the diagram. What is the direction and magnitude of the cross product of vector A and B (A) Out of the page, 260 (B) Out of the page, 270 (C) Into the page, 150 (D) into the page, 260 (E) Into the page, 340 A 15.6 730 a d 9. The components of vector A are given as follows: Ax = 7.6 Ay = -5.8 What is the magnitude of the vector? (A) 1.8 (B) 6.8 (C) 9.6 (D) 10.6 (E) 13.4 a d. earrow_forwardTwo vectors are given by A = 3 î + 6 ĵ and B = -1 î + ĵ. (a) Find A × B. k (b) Find the angle between A and B.arrow_forwardWhat is the magnitude of vector B⃗? What angle vector B⃗ makes above the xy-plane?arrow_forward
- Two vectors have the following magnitude, A = 7.2 m and B = 7.8 m. Their vector product is: A⨯B = -4.7 m i + 11.4 m k. What is the angle (in degrees) between the vectors A and B? Hint: Use |A⨯B| = AB sin(θ)(please don't round off any number)arrow_forwardTwo vectors and are given by A=5i+6j+7k and B= 3i-8j+2k. If these two vectors are drawn starting at the same point, what is the angle between them?arrow_forwardThere are 6 vectors: a, b, c, d, e, f. Simply the following expression: [ a(b . c) X (e . f)d ] X [ a – d ].‘X’ represents cross product while ’.‘ represents dot product. Vectors a & d are perpendicular. a) 0 b) (b . c)(e . f) [ d + a ] c) (b . c)(e . f) [ d – a ] d) (b . c)(e . f) [ d X a ]arrow_forward
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