Given vectors = (5,-3) and = (-3, -6); find 4ū O=(12,32) ού = (8, 36) οὐ = (-32, -12) 0 = (32, 12) ο υ = (-12, -32) O None of the above. 40

Q: Please don't provide handwritten and AI solution.

A: The objective of this question is to find the component form of the vector PQ+4RS. This involves…

Q: 3. Write ū= as a sum of vectors, one in the direction of and another orthoganal to a. ā= [3] 图

A: The given vector .The objective is to write the vector as a sum of vectors one in the direction of…

Q: Determine the dot product of (0, 5, 10) and (-3, 1, 0).

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Q: skip the first 3 thank you

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Q: If vectors A = (1,2,4) B = (3,4,1) and A+B+C = (3,2,-1) what Is C? Explain.

A: According to question,Given vectors A = (1,2,4) B = (3,4,1) and A+B+C = (3,2,-1)

Q: Solve the following vector equation: -4 3 24 4 -3 -3 + x2 -4 + x3 -4 4 -16 -1 -4 19

A: We have to solve the vector equation and find the value of x1, x2 and x3

Q: 5 -4 -3 -2 -1 -1 -2 -3 -4 1 2 3 u+v=< U Find the components of the addition of the two vectors u and…

A: Topic = Vector

Q: 6. Suppose a, b , and c are vectors such that a x b = (3, 1, –5) and e x a = (7,-7, 1). What is a.…

A: Use the distributive property to solve the problem.

Q: Given vectors a = (-4,3) and b = (2,9), what are the components of vector -a – b? (а) (-6, —6)…

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Q: PLease don't provide handwritten solution.

A: Step 1: Given that, u=[3,4,−5]v=[0,−6,4] To find w=2u−3v ,we first need to compute the scalar…

Q: 39. Given a = (3, -4) and b = (1, 2). Find the vector 2 a. (3,4) a. b. 2,4) c. (6,-8) d. (5,-2)

A: From the given statement,

Q: Find the dot product. (-23, 4)·(13, –5) О -316 О -318 О-315 О -319 О -317

A: We need to evaluate the following dot product -23,4·13,-5 Formula used : x1,y1·x2,y2 = x1·x2+y1·y2

Q: Suppose the equation ax + by = c corresponds to the vector (a, b, c). To what equation will…

A: Given that:The equation ax+by=c corresponds to the vector ⟨a,b,c⟩. (1).The given vector is:…

Q: 35. For m = (-5, -6) and = (6, −9) find the sum of the vector three times the magnitude of m and the…

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Q: Given the vectors a = (4,-2) and b = (-1,9), which statements is/are true? %3D V12 82 III. 3a - b -…

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Q: Please don't provide handwritten and AI solution.

A: The objective of this question is to find the component form of the vector PQ+4RS. This involves…

Q: find the modulus and the direction cosines of each of the vectors 3i + 7j - 4k, i - 5j - 8k and  6i…

A: The modulus of a vector, r→=ai+bj+ck is calculated using the formula below. |r→|=a2+b2+c2   The…

Q: The vectors A 6i + 4j – 8k and B = xi + 6j + zk are known to be parallel. Find x and z x = 9. -12

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Q: Suppose the polynomial ax² + bx + c corresponds to the vector (a, b, c). 2 To what polynomial will…

A: ConclusionIn the context of the given problem, where vectors correspond to the coefficients of a…

Q: Given vectors = (5,-3) and = (-3, -6); find 4u - 4v. 0 = (8,36) O v = (32, 12) O=(-12,-32)…

A: The objective of this question is to find the result of the operation 4u - 4v, where u and v are…

Q: Suppose that vi = (2, 1, 0, 3), v2= (3, – 1, 5, 2), and v3 = (- 1, 0, 2, 1). Which of the following…

A: Given:-             Suppose that v 1 =(2, 1, 0, 3), v 2=(3, – 1,5,2), and v 3=(-1,0, 2, 1). Which of…

Q: Use a grid and draw arrows to represent the following vectors. You canchoose any starting point you…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…