21 Two vectors, 2a + b and a - 36, are perpendicular. Determine the angle between a and b, if jā| = 2||]. Justify all steps and use proper notation.

Q: Show that each pair of vectors is perpendicular.     -4i -3j and 6 i - 8j

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Q: Find two unit vectors in 2-space that make an angle of 45° with 9i + 4j. NOTE: Enter the exact…

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Q: Find two unit vectors in 2-space that make an angle of 45° with 8i + 5j. NOTE: Enter the exact…

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Q: Find two unit vectors in 2-space that make an angle of 45° with 7i+ 4j. NOTE: Enter the exact…

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Q: Suppose u = (-3, 2) and v = (10, 2) are two vectors that form the sides of a parallelogram. Then the…

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Q: If the vectors a=(2,5,-1) and b3(3,-3,k) are orthogonal, the the value of k is

A: Given : a = 2,5,-1b = 3,-3,k

Q: Find two unit vectors in 2-space that make an angle of 45° with 7i + 6j. NOTE: Enter the exact…

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Q: Suppose that U and V are vectors of lengths 2 and 3, respectively. If the angle between U and V is…

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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 two unit vectors in 2-space that make an angle of 45° with 7i+ 6j. NOTE: Enter the exact…

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Q: if vector AB=i+7j-4k and B is the point (9,3,5) find A

A: Let A=ai^+bj^+ck^B=di^+ej^+fk^ be twovectors.Then AB→=d-ai^+e-bj^+l-ck^

Q: Find two unit vectors in 2-space that make an angle of 45° with 6i + 5j NOTE: Enter the exact…

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Q: Compute u•v if u and v are unit vectors and the angle between them is u•v = (Type an exact answer,…

A: To find u.v

Q: Consider the vectors ū = (1,–3, -5) and i = (1,4,–10) and 0, the angle between them. Find 0

A: Given vectors are u⇀=1, -3, -5 and v⇀=1, 4, -10. To find angle θ between them. Solution: We know…

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

A: a)a→=-3 i + 8 jUnit vector as the same direction;u= a→a→ =(-3 i + 8 j)(-3)2+(8)2u=(-3 i + 8…

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: If vectorAB =-7i + 3j + 8k and A is the point (-2, -3, 6), find B.

A: Given : AB =-7i + 3j + 8k and A=(-2, -3, 6)

Q: If vector AB = i + 4j - 2k and B is the point (5, 1, 3), find A.

A: Given,

Q: Show that the pair of vectors is perpendicular. -2i - 5j and 10i – 4j To show that -2i – 5j and 10i…

A: Given,            To show that -2i -5j and 10i - 4j are perpendicular.

Q: Find two unit vectors in 2-space that make an angle of 45° with 7i + 4j.

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Q: 348, 7.) x and y are vectors between them and 2, respectively, with an angle of 120° of 3x + 27. the…

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Q: 03, If a=(3,-1,1), for what value ofe is the vector b-(3,c,-1) perpendicular to a?

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Q: Find two unit vectors in 2-space that make an angle of 45° with 10i +3, NOTE: Enter the exact…

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Q: The angle between the two vectors 1= (-9, –4, 7) and v = (36, 16, -28) is Select one: True False

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Q: if vector AB =(-7i+3j+8k) and the point A= (-2,-2,6) find B

A: Given, AB =(-7i+3j+8k) and the point A= (-2,-2,6) Let the coordinates of B be (x,y,z) Now, AB = B-A…

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: Find the angle in degrees between u = (1, 2, 0) and v = (1, -2, 1)

A: Given, u=1,2,0v=1,-2,1 The formula for finding the angle between the two vector is, cosθ=u→·v→u→v→

Q: Find two unit vectors in 2-space that make an angle of 45° with 7i + 6j. NOTE: Enter the exact…

A: NOTE: Refresh your page if you can't see any equations. . the given vector is  find the norm

Q: The angle between the vectors [√2 – 1, √2 + 1, √2] and [1, 1, 1] is: 45° 60° 90° 30°

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Q: 6. Find the unit vector in the same direction as v. If u = (-12,8) and v = (-5,-12), find:

A: Consider the vectors u=<-12, 8>,    and    v=<-5, -12>. Need to find the unit vector in…

Q: ind the angle between the vectors  [ 1 ]    And   [ -3 ] [ 3 ]             [ 2 ] [ 2 ]…

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Q: 2. The unit vector in the same direction as (-6, 12) is

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Q: Find two unit vectors in 2-space that make an angle of 45° with 7i+ 6j. NOTE: Enter the exact…

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Q: 2. If A = 2a, + 0.3a, – 1.5a, and B = 10a, + 1.5a, - 7.5a,, Show that A and B are dependent vectors.

A: The solution is given as

Q: If A=(4,3,0), B=(2,3,4) and C= (5,6,2) find the dot product and find the angle between the vectors .

A: A=4, 3, 0B=2, 3, 4C=5, 6, 2 REMEMBER A·B=ABCosθ⇒θ=Cos-1A·BAB

Q: If A=(4,3,0), B=(2,3,4) and C= (5,6,2) find the dot product and find the angle between the vectors.

A: Dot product defined as  AB =|A| |B| cos x x is angle between A and B

Q: Given vectors đ = (2, – 2,–2) and b = (4,0,– 1), find 3đả +2b Select one: (6, -2, -3) (16, -4, -7)…

A: According to question given that a→=(2,-2,-2)b→=4,0,-1We have to calculate 3a→+2b→

Q: 7) Given the vectors å ,b and č in 3d. Identify which of the following operation is possible or not…

A: Dot Product of vectors is equal to the product of the magnitudes of the two vectors, and the cosine…

Q: If two vectors a+b and a-b are parallel, then a and b are parallel. Select one: CTrue O False

A: Note: since you posted multiple question. As per our guidelines ,we are supposed to solve one at a…

Q: If u = 2i -j- 3k, w = 3i – 9j+ 5k and v = perpendicular. 15i – 3j – 5k, then the vectors are Select…

A: which option?

Q: If the vectors a and b are such that |a| |b| = -5, and a b = 10, then the angle between the two…

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Q: The vectors (8, 6) and (k, 12) are parallel. What is the value of k

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Q: Given the three points X(6, 2, - 3), Y(- 2,3,0) and Z(- 4, 6, 5). Find the unit vector bisecting the…

A: Given position vectors: X6,2,-3; Y-2,3,0; Z-4,6,5To find: The unit vector bisecting angle YXZ.…

Q: If two vectors a+b and a-b are parallel, then a and b are parallel. Select one: O True O False

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Q: Find two unit vectors in 2-space that make an angle of 45° with 7i+6j. NOTE: Enter the exact answers…

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Q: Find two unit vectors in 2-space that make an angle of 45° with 10i + 3j. NOTE: Enter the exact…

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Q: Find two unit vectors in 2-space that make an angle of 45° with 7i + 4j. NOTE: Enter the exact…

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Q: What is the angle in degrees between the two vectors (2, 4. -1) and (4, 8, -2)? Note that the…

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Q: The vectors (8, k) and (9, 6) are perpendicular. Find the value of k.

A: The vectors (8, k) and (9, 6) are perpendicular

Q: If a = (4, 3, 1, – 2), ß= (- 2, 1, 2, 3) are two vectors in V, (R), find the angle be- tween a and…

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