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(a) Let v be a vector with initial point (-1, 4) and terminal point (3, -2). Let w be a vector with initial point (-2, -2) and terminal point (6, 7). (i) Express v and w in component form. (ii) Find the angle (in degrees) between the two vectors. (iii) Find the vectors v +w and 2v –- w. |

(a) Let v be a vector with initial point (-1, 4) and terminal point (3, -2). Let w be a vector with initial point (-2, -2) and terminal point (6, 7). (i) Express v and w in component form. (ii) Find the angle (in degrees) between the two vectors. (iii) Find the vectors v +w and 2v –- w. |

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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7. (a) Let v be a vector with initial point (-1, 4) and terminal point (3, -2). Let w be a vector with initial point (-2, -2) and terminal point (6, 7). (i) Express v and w in component form. (ii) Find the angle (in degrees) between the two vectors. (iii) Find the vectors v +w and 2v – w. (b) A plane leaves an airport at an average speed of 500 km per hour on a heading of 250° T. Find how far south and how far west the plane is from its original position after 2.5 hours. (Give your answers correct to one decimal place.)
Transcribed Image Text:7. (a) Let v be a vector with initial point (-1, 4) and terminal point (3, -2). Let w be a vector with initial point (-2, -2) and terminal point (6, 7). (i) Express v and w in component form. (ii) Find the angle (in degrees) between the two vectors. (iii) Find the vectors v +w and 2v – w. (b) A plane leaves an airport at an average speed of 500 km per hour on a heading of 250° T. Find how far south and how far west the plane is from its original position after 2.5 hours. (Give your answers correct to one decimal place.)
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