Show that vectors a = (4,0, – 1), b = (1,3, 4), and c = (-5,–3,–3) form the sides of a triangle. Is this a right triangle? Calculate the area of the triangle. | Yes, 10.5

Q: Determine the dot products of the following pairs of vectors. (a) (3, 5), (3, -4) (b) (2, -5, 3),…

A: Solution :-

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 14j as…

A: ANSWER IS GIVEN BELOW.

Q: Which ONE of the following formulas involving vectors a, b.c, a # 0 is meaningless? A. B. Oc. (a…

A: We have to find which formulas involving vectors  a→,b→,c→ and vector a→ does not equal to zero…

Q: Find the unit vector that points in the direction of [ 2 7 1 -7] + [1 -1 2 8]

A: What is Unit Vector: Geometrical objects with magnitude and direction are called vectors. A starting…

Q: Find the angle a between the vectors  [ -5 ]    And    [ -2 ] [ 5 ]                 [ 3 ]

A: To find the angle between the vectors

Q: Find the area of triangle with the vectors p(0,1,4),0(-5,9,2) and R(7,2,8) А: 30 B: 40 С:35 D:45

A: Given: Vertices of triangle          P0,1,4O-5,9,2R7,2,8…

Q: sketch the vectors −→AB and −→P Q, and determinewhether they are equivalent  A = (5, 8), B = (1, 8),…

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Q: Determine whether the following vectors are parallel, perpendicular, or neither. (4, – 2), (6,12)…

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Q: Show that the vectors are parallel, and determine whether they have the same direction or opposite…

A: Known fact: If a⇀×b⇀=0 then the vectors are parallel to each other.

Q: Find the angle between the pair of vectors below. u = (2,3) and v = (-2,5)

A: Given query is to find the angle bothe vectors.

Q: 02. Given the vectors : A = (3.-1, 2), B = (0, 1, 1) and C- (2, 2,-1), find: the angles between the…

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Q: a) Show that the three vectors A = 2i – j+ k , B = i - 3j – 5k, Č =-3î + 4j + 4k %3D form the sides…

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: Obthe resulting parallelogram from the following two vectors that form non-parallel sides A = 3 + 2…

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Q: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: a) Given: v1=<-3,6>,…

Q: Find the angle a between the vectors 1 -3 and 3 109.136

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Q: Which of the following vectors are parallel to v = (6, 9) and whichpoint in the same direction?  (2,…

A: Let the 2 nonzero vectors be v and w and also the scalar vector be λ . Both the vectors are said to…

Q: Which of the following vectors are parallel to v = (6, 9) and whichpoint in the same direction? (12,…

A: Solution:Given     v=(6,9)To find the vector are parellel to v and point in the same direction.

Q: Compute the dot product of the two given vectors: 27 1 3. Answer:

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Q: Prove the property if a and b are vectors and m is a real number.a . b = b . a

A: Proof : let a and b are vectors and m is real number. To prove :   a . b= b . a

Q: find the cosine of the angle between the vectors. (1, 1, 1), (2, −1, 2)

A: Given: (1, 1, 1), (2, −1, 2)

Q: Copy the vectors in the figure and use them to draw the following vectors. (а) а + b (b) а — b (c) a…

A: Note that, according to Bartleby guidelines, we can answer only the first 3 sub-parts in the case of…

Q: (a) Find the area of the triangle with adjacent sides representing the vectors 2i – j + 3k, and i+…

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Q: B) Use vectors to check whether the points A (1,-1,0), B (2,1,-1), and C (-1,1,2), are vertices of a…

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Q: Assume that the vectors a, b, c, and d are defined as follows: a = (8, 7) b = (6, 3) c = (2, -1) d =…

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Q: b) How do you tell if two vectors are perpendicular?

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Q: In R?, using vectors and angle between vectors, verify that the points P (13, –1 Q(-9,3) and R (-3,…

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Q: sketch the vectors −→AB and −→P Q, and determinewhether they are equivalent A = (1, 4), B = (−6, 3),…

A: Given, A=(1,4), B=(-6,3) P=(1,4), Q=(6,3)     Sketch the vectors AB→ and PQ→, and determine whether…

Q: Let the vectors a=[1,1,0] b=[3,2,1], and c=[1,0,2]. Find the angle between а) а, b b) b, с с) а+с,…

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

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Q: Find a unit vector in the direction of, a) й3 (-4,-3) b) й 3 (12, -5)

A: We have to find

Q: Which of the following vectors represents - 2u + v?

A: Given,

Q: Place the vectors a, b, c, and d in order of length, from smallest to largest. Show your…

A: We have to find length of each vectors first.

Q: tind the length of the vector pund 9-

A: Here we find the length of vector.

Q: Find the angle between the pair of vectors to the nearest tenth of a degree. (9, -1), (-4,-1) 79.8°…

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Q: Consider the points A=(1,2,3), B=(-2,1,0), and C=(0,3,1). Adding the vectors, find 2AB+3AC.

A: To find 2AB +3 AC

Q: Find the angle O between the two vectors given below. 0%3(5,2)cnd v= (-6,-1). Ako drawa figure.

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

A: Given vectors, a= 5c+3d b= 2c-d

Q: - Find the lengths of triangle ABC using vectors, knowing that: A (3,1), B (6,4), C (-1,3)

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: For what values of b are the vectors (–88, 6, 7) and (b, b², b) orthogonal? Answer (separate with…

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Q: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: 10,7 and -2,-75

Q: Find the angle between two vectors a = (3,4, 0) and b = (4,4, 2). cos-l(규) b. cos-() cos-(금) d.…

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Q: Find the angle between vectorsu3(1,0,0) and v=(1,0,1)? a. T/3 b. л/6 с. л/2 d. /4 Jump to...

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Q: Copy the vectors in the figure and use them to draw the following vectors. (а) а + b (c) 2а (е) 2а +…

A: Disclaimer-Since you have asked multiple questions, we will solve the first question for you.  If…

Q: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: a) If u and v are two-dimensional vectors, we calculate the dot product as   u=(u, u2) and v=(v1,…

Q: Assume that the vectors a, b, c, and d are defined as follows: a = (4, 1) b = (6, 5) c = (2, -7) d =…

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Q: Let each of the vectors A = 5a, -- a, + 3n,, B = – 2a, + 2a, + 4a,, and C - 3a, – 4a, extend outward…

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Q: Find the angle between the vectors  [ 2 ]    And    [4] [ 1 ]               [6]

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Q: Find the distance between the two vectors. u = (4, – 8), v = (- 8,8) O A. 100 О В. 4 Ос. 20 O D. 400

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