Find the vector x determined by the given coordinate vector [x]; and the given basis B. 3 6 400-0 [X] B -4 1 5 X = (Simplify your answer.) -1

Q: Looking at the vectors a-d below, figure out what subtraction problem was being performed, and then…

A: a. Vector a -5 to 1 b. Vector c 8 to 3 c. Vector d 10 to 13

Q: #1: (a) Find the value of the following product: 1 × 3 × 5 × ... × 69 Hint: Use the colon operator…

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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: Draw v = AB and the vector equal to v with the initial point at the origin. Find the component form…

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Q: The vector result of (ì − 2j +3k) · (−2ī + 2j − 2k) is a. -i + 7j b. -i+j-k d. j+7k e. -i+7k c.…

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Q: -10 X = a+ 10 2,0 -10 Write x as a linear combination of a and b. 2.0 b. 18 Hint: The preview shows…

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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: Solve for the unknowns in the vector equation below. •H-D-³[]=[] 8 3 1 a a b= 4

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Q: K J -2- Write vector JK in component form. 2.

A: From the given figure, the vector is in 2D. Position vector of point J is OJ⇀=(-3, -1) Position…

Q: Find the magnitude of the vector. (-3, – 7)

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Q: -1 Let a = -1 and b = 1 be two vectors. What is a2b2-la b2?

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Q: The vectors 3 -4 3 = 12 w = -8 5 -23 + k 7 are linearly independent if and only if k +

A: Solution:-

Q: a. Find the coordinate vector for each vector in the figure. ■ā= b= ■ ■= b -6-5-4-3-2-1 OK 6 5 4 3 с…

A: Solution is given below:-

Q: What is the vector shown in component form?

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Q: 1 4 Give a reason why the vectors 1 are 8 -88 arly dependent. (3 pts) Write one vector as a linear…

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Q: 4 A = 2 ( ) -3 Find a non-zero number 1 and a non-zero vector x so that Ax = 1x. Note: There are…

A: Given:-                 Find a non-zero number λ and a non-zero vector x→so that Ax→=λx→. Note:…

Q: Determine whether the statement below is true or false. Justify the answer. Another notation for the…

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Q: Solve the vector equation: -2 こ x, メ25 x3-6 G 3.

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Q: Find a vector orthogonal to (0,2,2) and (-2,4,0). Choose the correct answer below. OA. (-8,-4,-4) O…

A: An orthogonal vector to a vector (a, b, c) is of the form (u, v, w) such that      (a, b, c).(u, v,…