Two vectors are given by: d = 2x + 2ỹ + 32 , b =– 28 + 2ỹ – 32. Calculate d •b

Q: If A and B are two vectors, and B =-2A, so vector B has

A: A  and B are two vectors .... And B = -2A

Q: Two vectors are given by a→=1.5î+5.7ĵ and b→=1.4î+2.2ĵ. Find (a)|a→×b→|, (b)a→⋅b→,…

A: Given,  a→=1.5i⏞+5.7j⏞b→=1.4i⏞+2.2j⏞

Q: The vector orthogonal to 6? +7ĵ and 2î+6ĵ is .k Answer:

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Q: Which of the vectors is the result of P+ Q?

A: Required : Direction of the resultant vector.

Q: 42. For the two vectors A = 4.0i + 3.0j + 2.0k and B = –1.0i + 2.0j + 1.0k, calculate A · B and A ×…

A:

Q: Find the angle between each of the following pairs of vectors (round up your answer to the nearest…

A: a) The required angle between the vectors is,

Q: Find the direction and magnitude of the vectors. (a) A (5.0 m)x + (-2.0 m)y, (b) B (-2.0 m)x + (5.0…

A: A→ = 5x^ - 2y^ m B→ = -2x^ + 5y^

Q: For the vectors A=8.94i +6.93j-17.9k, B=7.67i-6.06j+10.2k, and C=6.25i-3.34j-9.61k, find C(A-B).

A: The difference vector between the two vectors is,

Q: Problem 4: Consider the three vectors A = 2.3i + 2.1j+9.3k, B = -11.6i + 1.1j+ 4.1k, and C = 1li -…

A: solution as

Q: Two vectors are given by a→=2.8î+7.4ĵ and b→=5.9î+3.7ĵ. Find (a) ||a→×b→||, (b)a→⋅b→,…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: Find the angle between vectors for (a)D ⃗ = (−3.0i ^ − 4.0j ^ )m and A ⃗ = (−3.0i ^ + 4.0j ^ )m and…

A: (a)

Q: Find the resultant of the two vectors of A = 2.45 N, 15.5° N of E and B = 9.51 N, 38.5° E of N,…

A: Given: The magnitude of vector A is 2.45 N. The direction is 15.5 degrees North of East. The…

Q: Given the three vectors, A = 3i+2j-k, B = -6i-4j+2k and C = i-2j-k, find which two vectors are…

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Q: What is the unit vector for vector M = [3.5, 4.8, -9.3] N a. [0.317, 0.435, -0.843] b. [0.435,…

A:

Q: For the vectors in the figure, with a = 3.60, b = 2.70, and c = 4.50, calculate (a) a b, (b) a.7,…

A:

Q: Two vectors are given by a = (1,2,3) and b = (3,2,1) in cartesian coordi- nates. Find à, a + b, a b…

A:

Q: ctors A = 4ax + 3ay  and B = ax + 2ay + 2a

A: GivenA→ = 4ax + 3ay  andB→ = ax + 2ay + 2az

Q: Find the angle (direction) of the resultant of these given vectors: a: 3i +6j b: 7i-3j

A: Given that,a=3i + 6jb= 7i - 3jcosθ=a.bab

Q: The distance vector from pointA (2, –3,1) and B(1,5, –3)

A: given point A =( 2 , -3 , 1)  therefore A→= 2ax-3ay+1az. point B = (1,5,-3) B→= 1ax+5ay-3az.where…

Q: Find the sum of two vectors Á and B lying in the xy plane and given by A = (2.0i + 2.0j) and B =…

A:

Q: Let S = (1m)i + (2m)j + (2m)k and T = (3m)i + (4m)k. The angle between these two vectors is given by

A:

Q: Consider the vectors A=4i+8j and B=30i-12j, If 2A-B+7C=-5i-10j. Find the magnitude of the vector C

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Q: Consider three vectors A = 15.3i + 1.7j, B = 9.5i + 9.1j, and C = -2.7i - 11.4j. What is the result…

A:

Q: Two points are given in polar coordinates by (r, ?) = (2.60 m, 50.0°) and  (r, ?) = (3.00 m,…

A:

Q: Two vectors are given by A = 3i – 23 + 4k and Ảx B. B = 6j – 2k. Ignoring units, calculate

A:

Q: Given two vectors A = (3Î – 2ĵ + 5k) and B = (6î – 7ĵ + 4Êk) find: (a) A²; (b) B²; (c) (A · B)².

A: A= 3i - 2j +5k  B= 6i -7j +4k

Q: Three vectors are given by: d = 21 – 35 + 5k, B = -2î + 7 – k and č = aî + 2ĵ – 4k. a) Find a, 2 ,…

A: We have been provided with three vectors so, we will solve them by breaking them into steps.

Q: For the following three vectors, what is 3C · (2 A✕B )?  A= 2.00i + 3.00j − 7.00k  B= −3.00i +…

A: Given, A→=2i^+3j^-7k^B→=-3i^+7j^+2k^C→=3i^-8j^ So we have, 3C→=33i^-8j^=9i^-24j^ and…

Q: calculate the vector a x b when a =2i+j-k and b= 3i-6j+2k

A:

Q: What is the angle between theses two vectors A = 14i – 5j+11k and B= 3i + 7j + 10k ?

A:

Q: Consider two vectors, A = 14.3 m at 36.0°, and B = (-8.90î + 2.50j) m. %3D

A: Given data

Q: Two vectors are given by á = 5.4i + 5.6j and b = 4.8i + 2.3). Find (a) a x b, (b)a · b,c)(d + b) .…

A: Given vectors: a→=5.4i^+5.6j^b→=4.8i^+2.3j^

Q: Add the following 3 vectors together and find the magnitude of the resultant: 5.0 m E, 3.0 m N, 2.0…

A: In the given question, given that three vectors and We have to determine the magnitude of resultant…

Q: Compute the x- and y-components of the vectors vec A vec B , vec C , and overline D in the Figure

A: To determine x-  and y-components of the vectors vec A vec B , vec C , and overline D as shown in…

Q: Given the two vectorsA=-8i,-4j,-6k and B=2i,+3j,-7k, find (a) A+B, (b)A-B, and (c)-4A (d)A•B (e)AxB…

A: Given:

Q: Show that the vectors A = 2i-j+k, C=3i+4j + 4k form the sides of a right triangle. Bi-3j-5k

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Q: Given vectors: A = 8.3i + 33 and B = 6.5i + 7.4) Find AXB

A:

Q: Given two vectors A = 2ax + 4ay 10az , B = - $ ap + ap - 3az, and point P(0,2, - 5 ) The angle…

A: Given two vectors A-2ax +4ay +10az and B-5 ap+ad-3az, and point p -(0,2,-5) The angle between A and…

Q: Use the vectors m, n, p below to fid the following, Leave answers in exact form. m = (4, 5); n =…

A: m = (4,5) n = |2i^ - 5j^|p = (-8,-2)

Q: For the following three vectors, what is 3. 7 . (2 Ả × B )? A = 2.00î + 4.00) – 3.00k B = - 3.00î +…

A:

Q: Two vectors are given by å = (4.0 m)î – (3.0 m)ĵ + (1.0 m)k and b = (-1.0 m)î + (8.0 m)ĵ + (2.0 m)k…

A:

Q: Two vectors are given by a→=4.0î+2.8ĵ and b→=2.1î+7.7ĵ. Find (a) ||a→×b→||, (b)a→⋅b→,…

A:

Q: 2)1F the Volume is egual to Zero ,then the all Vectors line in the same planc. a.T b.F

A: Given  volume of parallelepiped formed by the vectors is zero

Q: Solve for the required using the given vectors A = 3i – 8j + 6k  B = 4 j + 9k – 5i  C = 7k a. A ∙ B…

A:

Q: %) Problem 5: Consider the following vectors: A 4.6i+ 1.4j + 3.4k B -6.5i + 7.1j+ 10.2k

A: Given A̅ = 4.6 î + 1.4 ĵ +3.4 k̂  B̅ = -6.5 î +7.1 ĵ +10.2 k̂

Q: Let vectors A=(2,1,−4), B=(−3,0,1), and C=(−1,−1,2).Calculate the following: What is the angle θAB…

A: Given,

Q: What is the angle between vectors A- 2i + 3j + k and B- 3i • 2j • K?

A: Given Data: The vector A is: A=2i+3j+k The vector B is: B=3i+2j+k

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.