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Pre-Calculus Practice Problem 146

# Pre-Calculus Practice Problem 146 - =-2.3-1.9 5 Vector v is...

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Unit 4, Activity 7, Algebraic Representation of Vectors with Answers Blackline Masters, Advanced Math-Pre-Calculus Page 144 Comprehensive Curriculum, Revised 2008 1. Plot points A and B. Give the component form of AB AB G G and find . Give the answer as an exact value. a. A(2, -4) and B(1, 5) b. A(-3, -3) and B(4, 3) a. AB G = − ( , ) 1 9 AB G = 82 b. AB G = (7,6), | AB G |= 85 2. Use the vectors v = (2, 7) and w = (-3, 5) to perform the given operations: a. – v b. 2 v + 4 w c. w – v a) (-2, -7) b) (4, 14) + (-12, 20) = (-8, 34) c) (2, 7) – (-3, 5) = (5, 2) 3. Vector G v has a magnitude of 4 and direction 150 o from the horizontal. Resolve G v into horizontal and vertical components. (4cos150, 4sin150) = (3.5, 2) 4. If v = (3cos40 o , 3sin40 o ) find 2 v and – v in component form. 2 v = (6cos40 o , 6sin40 o ) and v = (-3cos40 o , -3sin40 o ) = (4.6, 3.9)
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Unformatted text preview: = (-2.3, -1.9) 5. Vector v is 5 at 60 o and vector w is 4 at 100 o . Find the resultant r, as a. The sum of two components b. A magnitude and direction. a) (5cos60 o ) G i + (5sin60 o ) G j + (4cos100 o ) G i + (4sin100 o ) G j = (2.5 + -.6945…) G i + (4.330 + 3.939…) G j = 1.81 G i + 8.27 G j b) magnitude is ≈ 8.5 and direction is tan . . − F H G I K J 1 8 27 181 ≈ 78 o 6. A baseball is thrown with an initial velocity of 75 feet per second at an angle of 40 o . Find the horizontal and vertical components of velocity. horizontal 58 ft/sec, vertical 48 ft./sec 7. A force f of 10 newtons acts at an angle of 130 o with the positive x-axis. Find f in component form. 10sin130 o = 7.66 and 10cos130 o = -6.43 so the component form is (-6.43, 7.66)...
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