2. Use a directed line segment to represent the vector. (а) и %3D (2, —4) (b) v = (2,4, –4)

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

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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: Write the vector-valued function for the line containing (2.6,7) and (-4,-1.2). Use the equation…

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Q: Given, vector a = (3, 4, -2), vector b = (2, -7, 1), and vector c = (-6, 5, 4). Evaluate |-2b x c|

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Q: Find the cross product a × b. a = (6, 5, -4), b =(2, -1, 1) Verify that it is orthogonal to both a…

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Q: a. Write the vector (23,-12, -19) as a linear combination of a₁ = (3, -2, -1), a2 (2, -3, -1) and ã3…

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Q: à = (5, − 1) and 6 = (-2, –5). Represent a + b using the head to tail method. Use the Vector tool to…

A: The given vectors  and .To find the vector  and sketch the graph of the vector.

Q: a⃗ =⟨5, −1⟩ and b⃗ =⟨−2,−2⟩. Represent a⃗ +b⃗ using the head to tail method. Use the Vector tool…

A: See the details solution in below

Q: Suppose vector a= (4, -6, 10) and vector B= (-6, 9, -15). What is a x b?

A: topic - vectors

Q: Sketch a graph of each vector. 11) b=(-2V2,-1) 12) RS where R= (-6, 1) S= (-8,-10)

A: Solution (11.)

Q: Express w as a linear combination of u and v. 4 --}-}--[:] W = 6 u 3 2 6 6

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Q: à = (–3, –5) and b = (1,4). Represent a + b using the parallelogram method. Use the Vector tool to…

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Q: Solve the following exercises, you will need to show all your work to receive full credit. Consider…

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

Q: Express the vector v =-1 as a linear combination of the vectors -3 0,v2 4 and v3 -4 , if possible.…

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Q: Let X and Y be points in R³. Let P be a point on the line segment joining X and Y such that the…

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Q: Determine the vector 8a – 7b if a = -3i + 2j – 4k and b = 5i + 6j + 2k. 8a – 7b help (vectors)

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Q: a = 2 ,8 ,2 ,−2 ,−4 ,−3 ,−11, −4 ,9 ,7 and b = 8,−1 . SOLVE Ax =b for x , and write x in…

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