Find the cross product a x b where a (-2, 2, 0) and b = (-4, 1, –1). %3D ахь- Find the cross product e x d where c = (3, 5, –5) and d = (-2, –4, 2). сха Entering-Vectors.html

Q: How to calculate the cross products of vectors ? = {3,4,7} and ? = {4,9,2}?

A: GIVEN: Two vectors {3, 4, 7} and {4, 9, 2}

Q: If possible, write the vector w as a linear combination of the vectors V₁, V2, ..., Vk. If it is not…

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Q: Find the initial point of the vector that is equivalent to u = (2, 2, 4) and whose terminal point is…

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Q: Are vectors a = (2, 1, 3) and b = (2, -5, 1) orthogonal? %3D %3D

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Q: How many vectors can represent a line given by vector (-3,-5, 1) + (7,2,3)

A: The Equation of the line passing through a point A a→ and vector v→ P = Position vector

Q: Find the vector P,P2 and P2P1 P:(3.2,3) , Р.(5,7,-1) b- P1(-2,-1,0), P2(4,-5,2) a - P1(0,3,3),…

A: We can solve the given problem as follows:

Q: Which of the following vectors is the scalar multiple of z-(4, 3, -2) ? Ou- (-28, -21, -14) Ou-(-24,…

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Q: photo attached

A: Given that a vector V goes from the origin to a point (5, -5).

Q: In each case, find the linear combination of the first two vectors that is as close as possible to…

A: Both part of the question can be converted into the question based on least squares solution of a…

Q: Determine if the vector 2 b -A = 3 5 can be written as a linear combination of the vectors ---- 1…

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Q: Make sure the vector 7 = (8,3, 1) iş a linear combination of vf = (-5, 2, 1) , v = (-1, 4, 2) and vg…

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Q: 1. Find the resultant of the vectors A and B. A = 8a, + 7a, + 2a, В - - За, — 8а, - ба, Draw the…

A: Given that: A→=8ax+7ay+2azB→=-3ax-8ay-6az

Q: Find the cross product a ✕ b. a = (7, 0, −2) , b = (0, 6, 0) Verify that it is orthogonal to both a…

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Q: If possible, write the vector w as a linear combination of the vectors V₁, V2, ..., Vk. If it is not…

A: a) Given:     w=1,1,5, v1=7,7,7      v2=2,5,3, v3=4,1,-1 w=i^+j^+5k^, v1=7i^+7j^+7k^…

Q: Find the vector from the origin to the point of intersection of the medians of the triangle whose…

A: To determine the point of intersection of the medians of the triangle.

Q: Find the cross product of the vectors a=⟨2,3,−2⟩ and b=⟨−3,−6,−4⟩. Select one: a. ⟨0,2,−3⟩ b.…

A: a*b = <-24,14,-3> option 'e' is correct

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer…

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Q: f A = (1, -3, 2) and B = (3, 4, -5), what is B - A? Draw the vector diagram. %3D

A: Topic:- vector

Q: What is the component form of the vector represented by 8a when a = (-5, 3)? Enter the answer in the…

A: Scale product of the vector

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: Determine if the vectors vị = (1,2, 3), v2 = (1,-1,–3), v3 = (1, 1, 1) span R³.

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Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer…

A: Solve

Q: Find the vector v = PQ. Р- (2, 1,4) Q = (-8.25, -4.25, 8) v =

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Q: The cross product of vectors a = (-1, 4, 6) and b = (3, 0, -2) is %3D

A: The cross product of vectors is given below

Q: Write the vector 3 (if it is possible) as a linear combination of the vectors d1, d 2.

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Q: Find the "unit vector" for (3, 8)

A: The magnitude of a unit vector is 1 .

Q: Find the length of the vector. v - (9, 12)

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Q: Find the dot product of u = u=(-4,-9) and v=(3,-2)

A: Given: u=(-4,-9)v=(3,-2)

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer…

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Q: Find the unit vector with the opposite direction of a⃗=(8,−10,3,−1,9,3)

A: We have to find the unit vector with the opposite direction of a→=8,-10,3,-1,9,3.

Q: If the vector v has initial point P, what is its terminal point? V3 (23, -5, 13), Р(-6, 4, 2) (х, у,…

A: vector= terminal point - initial point P= initial point=(-6,4,2) v=(23,-5,13) terminal point =…

Q: The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors v., v, and v…

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Q: . Find the direction cosines of the vector joining the two points (4, 2, 2) and (7, 6, 14).

A: Given that: Two points are (4, 2, 2) and (7, 6, 14)

Q: Find a unit vector that has the same direction as the given vector. (-8, 8, 4)

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Q: B: Find area of triangle whose vectors P1(4,2,0), P2(-1,1,1), P3(0,4,3) (

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Q: For the vectors, u=−1,0,5 and v=1,4,−4, calculate projvu and scalvu.

A: Vector projection

Q: 7. Find the cross product of the vectors (a) u=(1,2,-3) v=(-4,1,2) (b) u = (0,1,- 2) v = (3,0, - 4)

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Q: Vector (3,-2,1) can be written as a linear combination of which of the following vectors? a. {(2, 0,…

A: OA = i + 2j  OB = 3i + 2j Find diagonal vectors and its magnitude. Question 1  solved.  Solving more…

Q: . CALCULATE the CROSS product for each of the following pairs of vectors, AND VERIFY your answer by…

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Q: - Find the length of the vector -3v if v = (2, 3, -2, 1).

A: Givenv=(2,3,-2,1)-3v=(-6,-9,6,-3)

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer…

A: use the cross product of the vect0r.

Q: What is the dot product of the vectors (4, −10, 3) and (1, 1, 5)? a) -113 b) 0 c) 4 or d) 9

A: Given :(4, −10, 3) and (1, 1, 5)

Q: Find the coordinate vector of [3, -4, 7]

A: We have to find the coordinate vector of (3,-4,7) relative to the ordered basis B. Since (a,b,c) is…

Q: Determine the dot product of the vectors а 3 (-3,—2, 3), b %3D (2,1,-2). b = (2,1,–2). a = 1. а:b —…

A: Solve for dot product

Q: Find the cross product of the given vectors. 7) ах b a (6,-6,-5) b=(-9,-1, 7) 8) а x Ь a = (9, 1, 2)…

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