Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition
5th Edition
ISBN: 9780133311617
Author: Prentice Hall
Publisher: Prentice Hall
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8. Consider the vector v = (-7,8)
A. What is the angle between = (-7,8) and the positive x-axis?
=
Part I: Use the formula ₁₂₁|₂|cose to find the cosine of the angle
between the two vectors (-7,8) and (1,0).
Cos=-0.6585
Part II: Use the cosine of the angle to find the actual angle between the two vectors.
Find the angle between u = i - 2j - 2k and v = 6i + 3j + 2k.
Find the direction angle and magnitude of u
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Similar questions
- Vector y has an initial point of (7,-2) and a terminal point of (-1,-5). a. Find the component form of y. <-2 -5 b. What angle does y make with the positive x-axis when it is in the standard position? (round to one decimal place)arrow_forwardLet A = (1,0, 2), B = (-2,2,4) be two points, ü = AB and i = -i+3j +k. (a) Find 27-30 =? (b) Find the dot product i o i =? (c) Find the cross product i x i =? (d) Find the cosine of angle between ữ and 7.arrow_forward1. Find a unit vector that has the same direction as the vector (-4, 2, 4). 2. What is the angle between the vector 8i + 6j and the positive direction of the x-axis?arrow_forward
- Give the magnitude and direction for each vector. 7. (3,4) 8. (8/2,-8/2) 9. i+ V3 j 10. -3i - 5jarrow_forwardI only need part B Vector is v=(-7,-50) The direction of the angle is going to be in Quadrant III Part B: How far has the ship traveled in one hour? Show all work.arrow_forwardFind the angle between a and b where -60+2b = 2i+j-8k and 2a-6=3i-4j+karrow_forward
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