# vectors sol - keung(dk7864 – Vectors – Henning...

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Unformatted text preview: keung (dk7864) – Vectors – Henning – (EM0910) 1 This print-out should have 62 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 (part 1 of 2) 10.0 points A B C D P R The vector vector R shown in the sketch may be expressed in terms of vector A , vector B , vector C , and vector D , which are the edges of a parallelogram, as 1. vector R = vector B + vector A. correct 2. vector R = vector A − vector C . 3. vector R = vector A − vector D . 4. vector R = vector A − vector B . 5. vector R = vector B + vector D . 6. vector R = vector A + vector D . 7. vector R = vector C + vector B . 8. vector R = vector B − vector A. 9. vector R = vector C + vector D . 10. vector R = vector D − vector A. Explanation: The solution is found by the application of the parallelogram rule of addition; the tails of the two vectors vector A and vector B are joined together and the resultant vector is the diagonal of a parallelogram formed with vector A and vector B as two of its sides. 002 (part 2 of 2) 10.0 points The vector vector P shown in the sketch may be expressed in terms of vector A , vector B , vector C , and vector D as 1. vector P = vector D − vector A. 2. vector P = vector A − vector D . 3. vector P = vector A − vector B . correct 4. vector P = vector B + vector D . 5. vector P = vector B + vector A. 6. vector P = vector C + vector B . 7. vector P = vector C + vector D . 8. vector P = vector C − vector A. 9. vector P = vector A + vector D . 10. vector P = vector B − vector A. Explanation: By the triangle method of addition vector B + vector P = vector A . Therefore vector P = vector A − vector B . 003 10.0 points Three vectors vector A , vector B , and vector C have the following x and y components: A x = 7 . 5, A y = − 3 . 2; B x = − 7 . 2, B y = 2; C x = 2 . 7, C y = 7 . 1. What is the magnitude of vector A + vector B + vector C ? Correct answer: 6 . 61891. Explanation: Given : vector A = (7 . 5 , − 3 . 2) , vector B = ( − 7 . 2 , 2) , and vector C = (2 . 7 , 7 . 1) . Let vector D = vector A + vector B + vector C . The x component o f vector D is D x = A x + B x + C x = 7 . 5 + ( − 7 . 2) + 2 . 7 = 3 and the y component of vector D is D y = A y + B y + C y = − 3 . 2 + 2 + 7 . 1 = 5 . 9 . Thus the magnitude of vector A + vector B + vector C is given by D = radicalBig D 2 x + D 2 y = radicalbig 3 2 + 5 . 9 2 = 6 . 61891 . keung (dk7864) – Vectors – Henning – (EM0910) 2 004 10.0 points Vectors vector A and vector B are shown in the figure be- low. For convenience, the tails of each vector are arbitrarily located at (0,0). y − 5 − 3 − 1 0 1 2 3 4 5 x − 5 − 4 − 3 − 2 − 1 1 2 3 4 5 A B Select the figure showing the resultant vec- tor vector R , where vector R = vector A + vector B ....
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vectors sol - keung(dk7864 – Vectors – Henning...

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