Find the vectors u + v, u – v, and 3u – v. (Simplify your answers completely.) 2 = (2, -9, 2), v = (0, 4, -1) %D u + v = u - v = 3u – v : %3D

Q: (Left nullspace) Add the extra column b and reduce A to echelon form: 1 2 3 b₁ 1 2 3 b₁ [A b] = 4 5…

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Q: 3. Determine the value of a and b if the vectors à = [a, 26, 32] and b = [49,-91,b] are collinear.

A: Given,            Two vectors are a→=a,26,32 and b→=49,-91,b are collinear.To find : Determine the…

Q: 1. Given the vectors = (2, -6) and 7 = (5, 5) , find %3D a. 37 -7 b. |7 + 7|

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Q: Find the length of each vector.

A: Solution: Consider the given vectors are  (a) u = 0-20 The length of the vector a→ = a1a2a3  ⇒ ∥a→∥…

Q: The point t has coordinater (4.1), AB = |- || B² 1-5. Find the coordinater of 5 ance the column…

A: We have to solve given problems:

Q: Vectors. 3U-4v U=6,7 and v=6,-7

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Q: Find the dot product of each pair of the given vectors. -6 2 1 V3 2 8 7 v1 V2 3 V2 V3 II

A: Given vector is: v1=46-28v2=-21-10v3=-4-627  To find the value of the dot product of the given…

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

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Q: Given the vectors u and i = , perform the operations below. %3D -7-0 =

A: Solution after performing operation is given:

Q: e) a unit vector perpendicular to both i and i f) the volume of the parallelepiped formed by vectors…

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Q: Find the component form of the indicated vector. Let u = ,v=. Find -6u + 7v.

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Q: X₁ A. 2 -4 O C. 7 -5 HHH + X3 1 Choose the correct answer below. + X₂ 2x₁ + 7x₂ + 5xX3 = 0 4x₁ + 5x₂…

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Q: Find a + b, 4a + 2b, lal, and la bl. (Simplify your vectors completely.) a = 4i 3j+ 2k, b = 2i - 4k…

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Q: Find 3u, -5v, u + v, and 5u - 4v for the given vectors u and v. (Simplify your a u = i + j, v=i- j…

A: given vectors        u = i + j  and   v = i - j   then finding -   (1)  3u = 3 (i + j) = 3i +3j…

Q: 3. For the vectors d = (2,11, -3) and 7 = (-7,0, –1), find proj, d.

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Q: -1 The point A has coordinates (4, 1), AB = 9 5 BC= . Find the coordinates of B and -4 the column…

A: Let B=a,b Now,  A=4,1AB→=-19 So,  AB→=-1 , 9⇒B-A=-1 , 9⇒a,b-4,1=-1 , 9⇒a-4,b-1=-1 , 9⇒a-4=-1…

Q: what is the linear combination of  u⃗  and v⃗ ?

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Q: 2. Find the directions cosines of AB. a. Ā = (-1,2,3) and B = (4, –3, 1) %3D

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Q: You are given the following three vectors a = (9 -3 -1) T b = (2 0 2) T c = (-4 0 8) T Find the…

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Q: Write a system of equations that is equivalent to the given vector equation. 2 -5 + - 9 ... Choose…

A: topic - matrices

Q: Determine whether the vectors AB and PQ are equal to each other.

A: Solution of the problem as follows

Q: 1. Write the vector v = 3 as a linear combination of the vectors:

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Q: ngle between the vectors -4 and 4. 2. 2.

A: We have to find the angle between given vectors.