2. The resultant of three vectors is zero. Must they all lie in a plane?
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Q: 4. Given the vector A = determine the following: (a) V. A (b) V x A
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Q: 4. Write each combination of vectors as a single vector. See figure below. (a) PQ+QR (b) RP+ PS (c)…
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Q: A) Write the vector form of D, E, and F. B) Find F x D · E 7 in E 15 in 12 in F 10 in
A: position coordinates:a: 0,10,0F:12,10,0c:0,0,15g0,0,15e12,0,0
Q: 1. Which of the following statements about general vectors a, b and c are true? Show your solutions…
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Q: 9) Determine the unit vector of r. 30 40°
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Q: Given two vectors = 3.00 + 5.00 and = -7.00-3.00. (a) Give the x- and y-components of each vector…
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Q: A vector is given as follows: -37-27-3 The vector product x7 equals: O A +37 + 37 OB. 37 +27 - 37…
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- 4) Two vectors have equal magnitudes of 2.0 m. Find graphically the angle between them if the magnitude of their resultant is (a) 3.0 m; (b) 1.0 m. In each case use the law of cosines to confirm your answer. Problems 3 and 4 are graphical solutions. Please use a protractor, ruler, and compass and work as accurately as possible. Alternatively, you could use a vector drawing program to work out the geometry3. Consider the vector whose x- and y-components are given to be 4.8341 and -3.0526, respectively. Determine the quadrant to which the vector is facing. Put the numerical value associated to the quadrant.5. Vector Ā = (1,3) vector B = ((3,0) while vector C = Ā+ B. What is the magnitude of C? A) 3 B) 4 C) 5 D) 7
- 5. Find the magnitude R of vectors A and B lying in the xy plane and given by: (show solution) A = (2.01 + 2.0f)m and B = (2.01 – 4.05)m2. For the two vectors A = î − 5ĵ + 3k and B = 3î + 2ĵ – Ê, find a) Ả · B, b) Ả × B, c) Ả + B, and d) the angle between A and B. Solution:4. Vector d = (-2.5, -3.6) m, reconcile the vector to polar coordinates.
- 2. (Review on Vectors) For the two vectors A = 1−5j +3k and B=31 +2j — k, find a) ÷ B, b) A x B, c) A + B, and d) the angle between A and B. Solution:2. Given three vectors; A = 21 - 31 +4k, B = i + 2) - k and C = 2î - j + 2k, a. Find A B b. Find B x C. (the magnitude of B x C is the area of a parallelogram bounded by A and B)11 If P =600 N. Write P as cartesian vector ( 2 point) 60° |135° 5. P(N) F3 60% y 200 N F2