a – ° and For what values of a and b are the vectors 2 4 equal? a +b

Q: Two vectors, a and b, are unit vectors with an angle of 60 degrees between them (when tail-to-tail).…

A: We will use the dot product of vectors to find the value of m

Q: 1. Given the vectors = (2, -6) and 7 = (5, 5) , find %3D a. 37 -7 b. |7 + 7|

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Q: Vectors a and b have lengths 2. If Ja + b | = V7, determine the exact value of Ja – b|.

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Q: The sides of a rectangle are formed by vectors A and B with |A| =2 and |B| = 5. Determine the area…

A: topic - vectors

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: b) Consider the vectors a = 2i + 2j + k and b = xi + j – k. Find the value of x for which the angle…

A: Given: a→=2i+2j+k, b→=xi+j-k We know that angleθ between two vectorsa→=x1i+y1j+z1k, b→=x2i+y2j+z2k…

Q: Given vectors: A(6.4,3), B(0.4.6) and C(8.2.1) forms a triangle. Find the angle at point B

A: Solution

Q: 1. For the vectors v = and u = a. Find vou b. Find ||v|| and ||u|| c. Find the angle between v and…

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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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: Two vectors 2a − 3b and 3a − b are perpendicular. Find the angle, ?, (correct to the nearest degree)…

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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: 2a – b For what values of a, b, and c are the vectors а — 2b 6 -2 and equal? а +b- 2с a

A: Consider the given matrix as 2a-ba-2b6 and -22a+b-2c

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…

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Q: What is the area of the parallelogram formed using the vectors below as 2 sides of the…

A: First we will find out the vectors from the graphs ,

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

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Q: .If A = 2a, + a, - 3a, and B = 4ax + 2a, – 3a, are vectors, find (a) A· B (b) Á xB (c) Angle between…

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Q: For what values of a and b are the vectors (a-b,2) and (4, a+b) equal? For what values of a, b, and…

A: Two vectors are equal if the corresponding components are equal . The vectors a-b,2=4,a+bif a-b=4…

Q: Given the equation, what is the angle between the two vectors? . Given X = 3j and Y = 2î + 2j, O A.…

A: We can find the angle between two vectors as below.

Q: The question says: "Find the magnitude and direction (in degrees) of the vector" V= 40 , 9

A: We use the magnitude formula with a=40 and b=9Answer: Magnitude = 41

Q: If à = 2a, + 2a,y – a, and B = 3a, + 2a, – 6a, are vectors, find (a) Ả ·Ē (b) Ả × B (c) Angle…

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Q: = 3. 6. Find the magnitude of the resultant of two vectors u and v, given = 5 and the angle between…

A: Explanation of the answer is as follows

Q: For the given vectors: å = (0,3), b = (4, –2), ở = (3,2), find: (a) 3å – 6+ 2č (b) angle between the…

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Q: Use the diagram to the right to answer questions 5 and 6. 5. Which of the following are equal…

A: We have to check

Q: For what values of a and b are the vectors 4= (2a-b, -1) and v (41 3a -b) equal ? write your ans…

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

A: Given: The vectors v=6,9, To determine: Whether the vector -24,-36 is parallel to given vector or…

Q: For what values of c are the vectors and perpendicular?

A: we will use dot product of two vector.

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: Q1.If à = 2a, + 2a, – a, and B = 3ax + 2a, – 6a, are vectors, find (a) Ả · B (b) Ả× B (c) Angle…

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Q: For what values of a and b are the vectors ; equal?

A: a-b2,  4a+b

Q: Ex Find the angle o in the triangle ABC determined by the vectors ACG,0) 6 B(3,5)i(5,2)

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

A: We will draw the vector and will compute required vectors as follows

Q: The angle between the vectors a=(2,6) and b=(3,-1) is :إختر أحد الخيارات а. 4 b. С. 3 d. 2

A: The required angle is, option (b) π/2 The detailed solution is as follows below:

Q: Given three vectors A(6, 2, -3), B(-2, 3, 0), and C(-4, 6, 5). Find the unit vector bisecting the…

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Q: For the given vectors: a = (2,–3), b = (0,3), c = (1,4), find: (a) 3å – 6+ 2č (b) angle between the…

A: a) this is the case of scalar multiplication and then addition and subtraction. So 3 times of vector…

Q: Determine the magnitude of the vector a+b and the measure of the angle between the vectors a and…

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Q: two points in the 3D plane, where A=(2,-4,6) and B=(5,-9,8). Which of the following would be the…

A: In this question, the magnitude of the vector is determined. The magnitude of the vector A→=a,b,c is…

Q: If a- b = 30, ||a|| = 5, and the angle between the vectors a and b is 30°, what is the magnitude of…

A: Given that a→·b→=30, ||a→||=5 and angle between the vector a→ and b→ is 30°.

Q: Given vectors a = (1,2, –1), b = (2,0,-1), and c = (2,2,1): a) What is 2ä – 35 + č? b) What is the…

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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: If A C =-8.4, A = 3i-4j, and C =6.5, the angle between the two vectors when they are drawn starting…

A: Let θ be the angle between the two vectors

Q: For the given vectors: å = (-3,0), b = (1,2), ở = (1, -3), find: (a) 3å – 6+ 2č (b) angle between…

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Q: For what values of a, b, and c are the vectors; Equal?

A: Given: 2a-ba-2b6, -22a+b-2c

Q: For what values of a, b, and care the vectors (2a-b,a-2b,6) and (-2,2,a+b-2c) equal?

A: The given vectors are 2a-b,a-2b,6 and -2,2,a+b-2c . Note that, two vectors are equal if their…

Q: For the given vectors: å = (1,2),b = (-4,3) find: (a) 3å – 45 (b) à -5 (c) Angle between the vectors

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Q: (2) The two vectors u and v are shown. (o) |v= 3 45° Ju|=2 (a) Find u v (b) Find v· u (c) Is u x v…

A: To find u. v,  v. u and( u x v).

Q: Given two vectors P = 9i + 9j + (-9k), Q = (-6j) The angle between the two vectors is

A: We have two vectors P=9i+9j-9k and Q=-6j. Then the angle between the two vectors.

Q: For the given vectors: a = (-2, 3), b = (1,–2), č = (2,2), find: (a) 2a – 35 + č (b) angle between…

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