Consider the three displacement vectors A = (4î – 3j) m, B = (3î - 5j) m, and C = (-5î + 5j) m. Use the component method to determine the following. (Take the +x direction to be to the right.) (a) the magnitude and direction of the vector D = A +B +C magnitude m direction ° counterclockwise from the +x axis (b) the magnitude and direction ofE = -A - B + C magnitude direction ° counterclockwise from the +x axis

Q: a = 3i - j - 4k, b = 2i +4j - 2k, c = -i +6k a. 4a - b b. b * (c - a) c. ||a * b|| d. the angle…

A: Solution : Given, a=3i-j-4k b=2i+4j-2k c=-i+6k a.) 4a-b=4(3i-j-4k)+2i+4j-2k =14i-18k b.)…

Q: Convert the following vectors to component form. The x-axis runs from left-to-right, while the…

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Q: (a)Write the force vector F in terms of i and j representing the weight of the boat and trailer for…

A: (A)Total traller weight is, w=470lbAngle of boat ramp, 21°As weight of boat and trailer is levely…

Q: The parametric vector v=(6-t)i+(9t+8)j represents a straight line. Find the equation of this line

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Q: A 100-meter dash is run on a track in the direction of the vector i = 4i + 3j. The wind velocity w…

A: Given that the vector direction of the track is v→=4i→+3j¯=<4,3>…

Q: Find the angles between the vectors: A= -2i+j-2k and B=2i-2j

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Q: sider the following scenario. ilot is steering a plane in the direction N 45° W at an air-speed…

A: True course and ground speed

Q: Find the unit vector that has the same direction as the vector v = 4i - 2j.

A: the given vector is v=4i-2j

Q: a = 3i - 2j + 5k and b = -2i-j+k, find 2a-3b and also its unit vector.

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