Show all work to calculate the value of x that makes the two vectors orthogonal to each other. v- 6i + 5) w - xi - 9) Give your final answer as an integer or simplified fraction.

Q: 02. Approve that the area of the parallelogram spanned by the vectors a= (2, -2, 1) and c= (-8, 8,…

A: Please refer the attached image for complete solution.

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A: Consider the provided information, The component vector v=PQ→ where P=a1,b1 and Q=a2,b2 are…

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Q: Write three properties of parallel vectors p and q.

A: Introduction: Only when there is a 0 degree angle between two vectors can it be said that they are…

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 angle between the vectors a=(2,2,-1) and b=(5,-2,3)

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Q: Find the angle between the vectors u = (-3,1,–2) and v = (-7,-5, 2) %3D

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Q: Find the value of  x  so that the two vectors  (27,1,13)  and   (x,0,1)  are orthogonal

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Q: Find the sum of the given vectors. a - (3, 0, 2), b- (0, 6, 0) Illustrate geometrically.

A: Given, Two vectors  a = ⟨3, 0, 2⟩   b = ⟨0, 6, 0⟩  We have to find the sum of vectors and illustrate…

Q: Do the vectors (1, 0, 0), (0, 1, 0), and (2, 3, 0) lie on the same plane? Briefly explain how you…

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Q: Show that Il all = 11b|l Are the vectors ã' and b equal?

A: ||a|| = ||b|| a and b are not equal.

Q: Let a = (10,-1,1) and b = (5,-3,-9) be vectors. How do I find what the image is asking for?

A: (A) ⇒Projb→a→=a→·b→a→⇒Projb→a→=(10, -1, 1)·(5, -3,…

Q: Finally, verify that the vectors satisfy the Parallelogram Law |||² + ||||? 3. ī = (2, –1), w =…

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Q: Determine whether the given vectors are perpendicular. = (0, –7), 3 (8, 0) y = O Yes O No

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Q: Find the area of the parallelogram that has the vectors as adjacent sides. u- (3, -5, 3) v = (2, 0,…

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Q: The two vectors a = (-1,2,-4) and b = (2, -4,-8), are not parallel but are orthogonal. Select one: O…

A: Given vectors:- a=-1,2,-4 b=2,-4,-8

Q: Give vectors a, b, c, d such that a=5c + 3d and b= 2c - d express 2a - 3b in terms of c and d

A: Solution as given below:

Q: Give the terminal point of the position vector of u= (3,4). Clearly show why your answer is…

A: Given that Position vector of u→=3,4 So, graphically it is as below:

Q: Find the resultant of the vectors A and B. Ả = A = 8a, + 7ay + 2a, B = -Зах — 8ау — ба, Draw the…

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Q: A figure is translated using the vector (-3, 7). What translation vector would move the image back…

A: i have provided solution in step2

Q: Express A = (3, 1, – 1) as B+ C, where B is parallel to the vector (1,4, 2) and C is perpendicular…

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Q: Show that the pair of vectors is perpendicular. 3? + ? and ? − 3?

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Q: What is the terminal point of the vector a = (4, 1) based at P = (1, 5)? Answer:

A: Use the definition of terminal point, we solve this problem as in next step.

Q: Find all values of b for which the vectors (2, -4, 5) and (b2, b, 0) are orthogonal. (Enter your…

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Q: (a) How do you tell if two vectors are parallel?

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Q: Find the sum of the given vectors. а - (5, -1), ь - (-1, 8) a +b = 4,7 Illustrate geometrically. y

A: We have

Q: Do the vectors ū = i+j-4k, V= -5i +3j-7k and w'= -i +4j+2k plane? 1ie in the Same

A: We have to check whether the vectors u→=i+2j-4k, v→=-5i+3j-7k, and w→=-i+4j+2k are in the same…

Q: Consider the vectors i = (6,4), i = (-2,6), = (4, 2), and i = (-2, 3). Which of these vectors are…

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Q: Find the acute angle formed by two diagonals of a cube. (vectors) show complete solution.

A: It has been assumed that the length of each side of the cube is a unit.

Q: We have two vectors: a= a-(:) and b=() What is the resultant of -a plus b?

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Q: To find the dot product of two vectors, _________ corresponding components, andthen ____ these two…

A: To find the dot product of two vectors, _________ corresponding components, and then ____ these two…

Q: Do the vectors A = 2ax +ay-4az, B =3ax %3D -2ay + az and C = ax -3ay +5az form a %3D right triangle?…

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Q: five vectors in Span v1, V2}. Do not make a sketch. 8 - -

A: In this question, the concept of the span of the vector is applied. Span The smallest linear…

Q: Express the vectors in terms of their lengths anddirections. 2i - 3j + 6k

A: The given vector is a=2i-3j+6k. Compute the length of the vector as follows. a=22+-32+62=4+9+36=49=7…

Q: List five vectors in Span {V₁, V₂}. Do not make a sketch. 6 - -8 HO 5 V2 7 - 9 0 II 5

A: Given vectors are: v1=65-9,       v2=-870 We have to list five vectors in Span{v1,v2}.

Q: Consider two vectors ~a and ~b such that ~a x^b = ~0. What can be said about vectors ~a and b?…

A: We have to give the reasons

Q: Find the area of the parallelogram that has the vectors u = (5,-1, 4) and v = (2,-3, 1) as adjacent…

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Q: The unit vector that has same direction as the vector from the point A(6, 8) to the point B(4, 10)…

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Q: Find the measures of the angles of the triangle whose vertices are A = * .(-1, 0), B = (2, 1), and C…

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Q: What is the component form of the vector represented by 2a when = (-2, 3)? Enter the answer in the…

A: If we multiply by a constant to any vector then  magnitude of that vector will be changed.

Q: Let a = and b = -2 be two vectors. What is Ja2|b|2 - Ja b2 ?

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Q: Let a and b be real numbers. Find all vectors ⟨1, a, b⟩ orthogonal to ⟨4, -8, 2⟩.

A: Given  a and b are real numbers. (1,a,b) is orthogonal to (4,-8,2).

Q: Find the area of the parallelogram that has the vectors u (2,-1, 3) and v (4, -5, 1) as adjacent…

A: As this is a multiple question according to the Bartleby Answering rule, only first question is to…

Q: Describe a unit vector in R^3 with the same direction as <1,0,7>

A: Consider the given point vector

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: Verify that the vectors a = (2, 5, –1) and b = (3, –1, 1) perpendicular. а. are

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