Question 1 What is the scalar projection of the vector A=1 10 +-9 +2; onto the vector 6 +8 9 +02 if both are acting at the same point Q? B= (Enter the answer rounded to 1 decimal)

Q: Question 6 Let A' = [-4 16 8] and B' = [-1 x² 21 For which real value(s) of x are vectors A and B…

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Q: The projection of the vector 5î + 5ĵ – 5k onto the vector –4î + 2ĵ – 4k. | |

A: We have to find out

Q: What is the zero vector?

A: We have to define

Q: Q12: Let vector v = (1, 3) and vector w=(-4,-2). Write vector v as the sum of two orthogonal…

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Q: Find two linearly independent vectors perpendicular to the vector 1 3

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Q: Find the equations of the traces in the coordinate planes and sketch them z = x2 +9y2

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Q: Explain “ some combination gives the zero vector, other than the trivial combination with every…

A: The statement is “ some combination gives the zero vector, other than the trivial combination with…

Q: 2. Let A (1,-1,0) and B = (2,1,-2). (a) Solve for projgA. (b) Find the angle between projgA and A.

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Q: (1 point) Express the vector = 8 as a sum of the basis vectors x = and y = %3D -13 xt j. = Netes V

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Q: V₁ = V1 V3 = V2= 4 [ 3 [-1] 2 3]

A: We use the properties of linear combination to

Q: Find the vector X (in standard coordinates) determined by the given coordinate vector [X] and the…

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Q: Calculate the scalar products of the following vectors: 10 1 Q-B 5 W1 -4 9 (a) V₁ = (b) V2 = (c) V3…

A: Note: As per rule I need to solve only first three subparts.

Q: The z-coordinate of the terminal point of the vector v=-5i-19k whose initial point is (-1,-4,-5) is

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Q: What role does the curl of a vector play in an application?

A: We have to write the curl of a vector play in an application.

Q: The terminal point of the vector v = 3i -j+ 5k with initial point (2, 5, -5) is Do not leave any…

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Q: Which of the following statements is not true for vectors a, b and c and scalars a and B (A) a.b+a.c…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: (a) Express the vector a × b in the form aa + 3b + yc, assuming that the vectors a, b and c are not…

A: a)  Look care fully that we need to find the coefficients   namely α,β,γ   Determination of α:…

Q: Identify the type of answer that results from each operation (vector or scalar). If the operation is…

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Q: Are the vectors = [−5_3 −1], v = [02-1] and w = [-25 21 -8] linearly independent? Choose If they are…

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Q: 5 Aaron and Maya want to write the vector u = -5 as a linear comb -19 -2 1 V1 -2 V2 = 1 and V3 = 2…

A: The { v1 ,v2 ,v3 } is not a set of orthogonal vectors.

Q: The vector -3 (GIE) -1 -4 0 -7 vectors -3 2 belongs to the span of the 5 Select one: O True O False

A: Given: W=span-3-10, -1-4-7. To check v=-325∈W.

Q: Find non-zero vectors I and 7 that are both orthogonal to and orthogonal to each other.

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