The engines of a plane are pushing it 450 mph east, but the wind is blowing 80° south of west at 25 mph. What is the direction of the plane's resultant vector? ||R= R = 446.34 mph 0 = [?]

Q: The current of a river is given by the vector (7,5). The direction of the vector is

A: We have to find the direction

Q: [P] 3 as a sum of one vector from x-axis and one from the y-axis. 8. 3. Write the vector u =

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Q: Find a unit vector in the same direction as v= (28,-21).

A: A unit vector in the direction of (a, b)

Q: Use the vector w= (20, -15) ||w||-19 ||w||-19=

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Q: If A = 4a, - 6a, + a, and B = 2a, + 5a,, find: (a) A B +2|B (b) a unit vector perpendicular to both…

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Q: 9. If = 1, 4, 5) and W = (2, -3, 1 V ( − w a) 3-2W b) |v|

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Q: Let vector v = 3i – 2j+ 4k and point P = (0,0, -3). For what point Q is it true that v = PQ?

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Q: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

Q: What is the direction of the vector with an initial point of (3,-5) and a terminal point of (8, 6)?…

A: The initial point is (3, -5) and the terminal point is (8, 6)

Q: Three vectors are given: A =il+j2+23,B= &4-§2+23, and C= -x4. Calculate: (a) A+B+C. (b) A+B-2C. (c)…

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Q: Explain how to write a vector in terms of its magnitude and direction.

A: A vector is a geometric representation of magnitude and direction with respect to the set of…

Q: Find the unit vector in the direction of (5, –4). Write your answer in component form.

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Q: Solve (-1+1) using De Moivre's Theorem. Express final answer as rectangular form.

A: We need to use De Moivre's theorem to evaluate -1+i6 De Moivre's theorem is the following:…

Q: How long is the shadow cast by a 540-foot tower when the sun's rays follow the vector [6,10,-27]?…

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