Determine the value(s) of k such that the area of the parallelogram formed by the vectors a = (k + 1,1,-2) and - (k, 39) is 41. %3D

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: Express the vector == 7= Z+ y. -22] 10 as a linear combination of = -(-3) and y=

A: Consider the vector v→=-2210. To express it as linear combination of vectors x→=-4-5 and y→=1-5.…

Q: (a) Let v, = and V3 = 2. -9 - Express v as a linear combination of those vectors. 8. Let v = 8 V =…

A: Here we have to find the vector.

Q: * Find the values for h for which the vectors are linearly dependent: 7

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Q: Find the area of the triangle determined by the points P, Q, and R. Use * .the cross product of…

A:

Q: calculate v × w.v = v = (1, 1, 0), w = (0, 1, 1)

A: Given v=<1,1,0> and w=<0,1,1> v×w=i→j→k→110011         =i→(1-0)-j→(1-0)+k→(1-0)…

Q: is the sum of 2 vectors with components and . What is a?

A: To find the value of a, you can use the properties of vector addition.Given that the sum of the…

Q: Find the coordinates of ABC after a dilation of k = -4

A: The given question can be solved as shown in step 2.

Q: Find the unit vector directed   from (2, -5, -2) toward (14, -5,3)   a. a = 0.3858, +0.923a, b…

A: Here we have to find a unit vector.

Q: What is the area of the parallelogram formed by the two vectors = (1,5) and = (-3,-2)?

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Q: Express the following as a linear combination of u = (6, 1, 7), v = (1, -1, 4) and w = (1, 8, 7).…

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Q: Calculate the area of the parallelogram determined by the points (-1 , -1), (2 , 4), (4 , 3) and (7…

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Q: Find the area of the triangle with vertices (1, 1, 2), (2, 3, 5), and (1, 5, 5). Use vectors and…

A: Consider the given question, Let the vertices of the triangle ABC is A(1, 1, 2), B(2, 3, 5) and C(1,…

Q: 19. Given the following vectors: A = 2i-3j+ 6k, B = 8i +2j - 3k and C = i-4j + k. Find * (A+B).C a.…

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Q: 6x Find -dA, where R is the parallelogram enclosed by the lines 4x – 3y 6x – y = 0, 6x – y = 9, – 4x…

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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…

Q: 27. Determine the area of the parallelogram formed by the vectors u=[3,-2,5] and v=[-1,4,2].

A: Step 1:

Q: Find the magnitude of the vectors represented 3 by (@5 0² 05 + !|

A: