and b are two unit vectors such that + 2b and 5 a. 4 b are perpendicular to each other, then the angle between a and b is 60° to

Q: Determine the angle between the given vectors. (а) а — 3і — 2ј, b %3 2i + 2j

A: a→=3i - 2jb→=2i + 2j

Q: 1. Find the angle between the following two vectors. and

A: The given vectors,  8,-5 and -9,-7

Q: Given vectors u=i+2j and v = 3i + yj, find y so that the angle between the vectors is 60°. roo…

A:

Q: Which of the following vectors are parallel? 1. Please select the two vectors that are parallel. А.…

A: 1) Two parallel vectors a and b are of the form a=kb, where k is a constant.  We can write <12,…

Q: Find the angle between the vectors v and w in each of the following: (a) v= (4,1)T, w=(3,2)T (b)…

A: topic - angle between vectors

Q: It is known that the area of the parallelogram P formed by the vectors u and V is 14 square units…

A:

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: Given the vectors v 4i + 2j - 3k and w = 3i – 4j + k.. Find the angle between v and w.

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Q: Find the angles between given vectors. (a) ā = 3i + 4j and b= 5i – 4j (b) a = 3i +4j - 5k and 5= 6i…

A:

Q: For the two vectors a and b, we have |b| == 5, |a] = v2, and the angle between a and b is a/4. Then…

A: Given two vectors and magnitude, angle of the two vectors then a. b = |a|.

Q: The points D, E and F divide the sides BC, CA and AB of a triangle in the ratios 1:4, 3:2 and 3:7…

A: If the position vectors of A and Bare a→ and b→ then the position vector of point P divid.ing AB in…

Q: Given vectors ū = [3,2, –1] and v = [-2,2,4] , calculate the following: %3D %3D a) 2ū + 30 b) ū · v…

A: Use vector properties.

Q: If u.v.w are three vectors such that each is inclined at an angle of " with the other two, and that…

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Q: In a triangle ABC, points E and F are on the sides AC and BC respectively, such that AE is 1/3 of AC…

A:

Q: 1. Assume the lengths of the vectors 2a – b and a + 3b , assuming a = (2,1,3) and b = (-1,2,2)

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

Q: The points D, E and F divide the sides BC, CA and AB of a triangle in the ratios 1 : 4, 3 : 2 and 3…

A:

Q: Suppose u = (-1.8,-2.1) and v = . Find the angle between the two (position) vectors u and v. Provide…

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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: If U and W are unit vectors in R" and |U - 3W = v13, then the angle between U and W is: O a. 30° O…

A: Option C will be the right answer.

Q: Find the angle 0 between the given vectors to the nearest tenth of a degree. U = 15i – 6j, V = 4i +…

A: Given, Vector U = 15i -6j        U = 152 +(-6)2 = 225+36 = 261 = 16.2 Vector V = 4i +13j         V =…

Q: The vectors a, b and c are such that 2a – b+c= 0. If a = 4i – j+k and b = i- 2k , find a unit vector…

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Q: Find the magnitude of each of the two vectors a and b having the same magnitude such that the angle…

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Q: Given that u and v are two vectors in R" with ||u|| = 10 and ||v|| = 7. (a) Find the maximum and…

A: The given problem is to find the maximum and minimum values of the given vector and also find the…

Q: (B): Find the unit vector perpendicular to the vectors: 31-4/+5k ; 11+5/-6k dw (C): If w = tan x and…

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Q: 4. Find the angle between each pair of vectors. Round to two decimal places as necessary. a) (V3,…

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Q: 1. To the nearest tenth, find the angle between the two vectors below. v = 3i – 2j w = 2i + 2j

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Q: The angle between the two vectors u = (4, 7) and v = (11 /2, 3 /2) computed via the cosine formula…

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Q: Find the magnitude and direction angle of the resultant of each pair of vectors. t = (17, 12) u =…

A: We use vector additions.

Q: If (a,ß.r) is a vector of magnitude 24 and having the same direction as the vector (1,-22,-2), then…

A:

Q: If a and b are unit vectors in R', show that ||a x b||? + (a · b)² = 1. %3D

A: On solving this we will get:-

Q: 1. Assume the lengths of the vectors 2a – b and å + 35 , assuming å = (2,1,3) and b = (-1,2,2) 2. If…

A: Using scalar multiplication of vectors and magnitude of vector concepts  we can solve this question

Q: Two vectors are defined as A = ax + 2ay + 3az and B = 3ax + 2ay -7az . Which of the following vector…

A:

Q: Find all unit vectors perpendicular to (3, 1, 4) that make equal angles withj and k.

A: Here we have to find the unit vector. The solution is following.

Q: Consider two vectors u, v, and is the angle between them, which of the following is false A. 00 if…

A: Given two vectors u→,v→ and θ is the angle between them

Q: 1. Find the angle between two vectors a and b with magnitudes √3 and 2, respectively having a b =…

A:

Q: 3 The vectors a and b are defined by a - and Given that a + 2b = Si + 4j find the values of p, q and…

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Q: Find the angle 0 between the given vectors to the nearest tenth of a degree. U = 16i- 8j V = 3i+11j…

A:

Q: 2 Given the three vectors A = 2i +j, B = i+ k, and C = 4j, find the following (a) A. (B + C) and (A…

A: Given vectors: A=2i+j+0kB=i+0j+kC=0i+4j+0k

Q: Given the three vectors A = 3ix + 2iy – İz B = 3ix - 4iy – 5iz C= ix - İy + İz Find the following:…

A: We have to find the vector

Q: 2. Given vectors and with || = 8 and || = 13 and an angle of 50° between them. a) Find |ỹ - ū

A: Let us solve the given vector problem in the next step.

Q: 1. If a and b are two non-parallel vectors and the position vectors of P, Q and R are 3. +-b and Aa…

A: We have to find the value of lambda by using the data given above

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

A: here here we have

Q: Find the angle θ between the given vectors to the nearest tenth of a degree. ​ U = 16i − 8j V =…

A:

Q: 2. Find the angle between the following two vectors. and

A:

Q: Given that the angle between the vectors a and b is n/3, then the angle between the vectors -a and b…

A: Angle between two vectors a and b is π3 Let us find the angle between -a & b  Represented in a…

Q: Suppose i and V are vectors such that ||ū|| = 2, |||| = 3, and the angle between u and ở is 60º. a)…

A: This question is related to vectors, we will use formula of dot product of vectors and basic…

Q: Find the angle 0 between the given vectors to the nearest tenth of a degree: u = 13î – 8î and 3 = 2î…

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Q: If a = 2i – j+k and b = 2j – k, for which value of t are the vectors a + tb and a orthogonal? 6 2 -3

A:

Q: The points D, E and F divide the sides BC, CA and AB of a triangle in the ratio 1 : 4, 3 : 2 and 3 :…

A:

Q: 2. The diagram below was created using equilateral triangles congruent to ABSR. If OS=ā and OT=b),…

A: The given figure is:

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.