A vector has a magnitude of 2.8 m and points in a direction that is 135° counterclockwise from the z axis. You may want to review (Page 71).

Q: Find the angle between the vectors A = −2i + j − 2k and B = 2i − 2j.

A: Now angle between the two vectors will be , cos-1a→·b→a→b→

Q: If the magnitude of the vector product of two vectors a and b are are equal to 0, then what do we…

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Q: Two vectors are given by (A= 3i+Ay j) and (B= 2i +4 j). if the angle between them is 90°, then ?the…

A: Given:A=3i+AyjB=2i+4jAngle ,θ=90°Now,a.→b→=|a|b| cosθIf ,θ=90° ,…

Q: Find the angle between the two vectors: A = 10î + 5ĵ – 3k and B = 5î + 2ĵ + k

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Q: / The vectors A and B are given by A=-2î –3j and B = i -2j. nd 1.AxB and verify thatAxB =-BxÃ. 2.…

A: Given values:- A→=-2i^-3j^ ----(1) B→=i^-2j^ ----(2) (1) Let (R→) be the resultant value of A→×B→…

Q: Two vectors have the following magnitude, A = 14.8 m and B = 14.5 m. Their vector product is: AXB =…

A: Given in the question, A×B=-1.1 m i + 9.7 m k By taking modulus of the above equation, we get,…

Q: Given two vectors A and B. Find the angle between them if A = {2, -3, 4} and B = { -1,2, -2}. be…

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Q: Michael wants to demonstrate the sides of the triangle in terms of vectors. Given: AB= | (A x B dot…

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Q: If AxB = 3 A.B, then the angle between the vectors A and B is: o 84.3 071.6 63.4° 076.0

A: Given : |A→×B→| = 3A→.B→       .....(1)To find :Angle between the vectors A→ and B→

Q: You are given vectors A⃗ = 5.4 i^− 6.4 j^ and B⃗ = 3.7 i^+ 6.7 j^. A third vector C⃗  lies in the…

A: SOlution: Given that A =5.4 i^− 6.4 j^ and B= 3.7 i^+ 6.7 j^

Q: The vector product of vectors A and B has magnitude 12.0 m? and is in the +z-direction. Vector A has…

A: Given data: The vector product of two vectors is, A→×B→ = 12 m2z^ The vector A is, A→ = 4.0 m-x^…

Q: The vector product of vectors A and B is maximum, therefore * O O vectors A and B are parallel in…

A: Given: The two vectors are A and B. To find: The condtion for the maximum vector product.

Q: Calculate the angle between vectors A=î+3ĵ+2k and B=î+27+3R

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Q: In the diagram shown, vector W has a magnitude of 0.30 [m] and is directed 35° N of E. Vector Y has…

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Q: Two vectors have the following magnitude, A = 10.5 m and B = 10.1 m. Their vector product is:…

A: Data provided: Magnitude of vectors A = 10.5 m and B = 10.1 m A⨯B = -4.6 m i + 7.6 m k.

Q: If the magnitude of the vector product of two vectors a and b are are equal to 0, then what do we…

A: Given : |a × b| = 0

Q: Find the cosine of the angle between vector R= 4.3î + 2.1ĵ+7.3k and the positive direction of…

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Q: The angle made by the two vectors Ŝ = 37 + 4ĵ +5k and M =3î+4ĵ +5k is: А) о B) 90 C 45 (D 180 E) No…

A: Given that, vector:S→=3 i^+ 4 j^ +5 k^M→=3 i^+ 4 j^ +5 k^   A single point will defer the angle…

Q: find the angle between the pair of vectors A=3.00i + 5.00j B=10.00i + 6.00j

A: Given data: A=3.00i + 5.00j B=10.00i + 6.00j Required: Angle between vector A and B

Q: What is the angle e between vectors à and B if A = 3 i +4 ĵ and B = 8 î – 6 j?

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Q: A = 3.00î + 5.00ĵ and B = 10.00î + 6.00ĵ %3D

A: Answer :  The angle between these two vectors is ∅= 28.072°

Q: Vector A = 5.1 i + 4.9 j. Vector B = 6.9 i + 3.7 j. The dot product of the two is C = A ∙ B (i.e. A…

A: Given that:  A = 5.1 i + 4.9 j B = 6.9 i + 3.7 j To determine: C = A ∙ B

Q: Given three vectors A = -2i + 3j + 4k, B = 3i + 1j – 3k and C = 3i -4j + 2k, do the following: a)…

A: The given three vectors are A=-2i+3j+4k,B=3i+1j–3k, and C=3i-4j+2k

Q: * = • Two vectors A and B have magnitudes A 3.00 and B =3.00, Their vector product is A × B=5.00k +…

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Q: In unit vector notation, å, and åz vectors are given as å, = -3î + 6ĵ + 2k and åz = -2î – 5j + 2k.…

A: Introduction : Angle between two vectors can be found by taking their dot products. Given :…

Q: Two vectors have the following magnitude, A = 12.2 m and B = 12.8 m. Their vector product is: AxB =…

A:

Q: Show that when A⃗ +B⃗ =C⃗ A→+B→=C→, then C2=A2+B2+2ABcosφC2=A2+B2+2ABcosφ, where φφ is the angle…

A: Given:-  A→+B→= C→ Find:-  Show that C2 = A2+B2+2ABcosφ here φ is the angle between vectors A→ and…

Q: If A C =-11.1, A = 3i -43, and C= 6.5, the angle between the two vectors when they are drawn…

A: The dot product of the two vectors is  A→ . B→ = A B cos θ where, θ is the angle between the two…

Q: Two vectors have the following magnitude, A = 5.4 m and B = 6.5 m. Their vector product is: A⨯B…

A: Given data: Magnitude of vectors A = 5.4 m and B = 6.5 m A⨯B = -2.2 m i + 5.3 m k

Q: A vector A = Axi + Ayj + Azk has magnitude A. Then the dot product of the vector with itself, A.A is

A: the given vector is A=Axi^+Ayj^+Azk^

Q: Two vectors have the following magnitude, A = 8.3 m and B = 10.5 m. Their vector product is: A⨯B =…

A:

Q: Vector A = 4.5 i+ 3.2 j. Vector B = 4.5 i + 4.2 j. The dot product of the two %3D is C = A•B (i.e. A…

A: Consider the vectors are:

Q: Given two vectors A= 7i + 4j – 2k, and B= 31 – 10j + 3k, calculate the angle between them, where i,…

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Q: Q(2) Consider the two vectors A= 31 – 2j and B = 2i – 3j. Calculate the angle between the two…

A: Given the two vectors  A= 3i - 2j and B = 2i - 3j. We have to find out the angle between the two…

Q: 45. Let S=(1 m)î + (2 m)ĵ +(2 m)k and T = (3 m)î +(4 m)k. The angle between these two vectors is…

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Q: Given three vectors A = -2i + 3j + 4k, B = 3i + 1j – 3k and C = 3i -4j + 2k, do the following: d)…

A: GIVEN : A =-2i+3j+4kB=3i+1j-3kC= 3i-4j+2k

Q: Vector A = 3 i + 3.8 j. Vector B = 5.1 i - 7.5 j. The dot product of the two is C = A ∙ B (i.e. A…

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Q: The vector product of vectors A = 4i + 6j + 8k and B = 6i + 8j – 10k where i, j and k are unit…

A: A→ = 4i^ + 6j^ + 8k^B→ = 6i^ + 8j^ - 10k^ the resultant vector of A and B is the sum of vectors A…

Q: What is the angle between the following vectors? A=-2î + 3) B = 31 - 4)

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Q: The vector a has a magnitude of 5.00 units and the vector b a magnitude of 7.00 units. If the angle…

A: Given data: Magnitude of vector a a = 5.00 units Magnitude of vector b b = 7.00 units Angle between…

Q: Two vectors have the following magnitude, A = 7.7 m and B = 6.7 m. Their vector product is: A⨯B =…

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Q: Two vectors have the following magnitude, A = 8.9 m and B = 7 m. Their vector product is:  A⨯B =…

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Q: .Calculate the area of the parallelogram whose two adjacent sides are formed by the vectors. A = 3i…

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Q: No. 16 Find the angle between the two vectors represented by the following equation: A = (3.00 m)î –…

A: Solution: given thatA→ =(3 m)i^-(2.5m)j^+(5m)k^B→ =(15 N)j^-(40N)i^-(60N)k^

Q: Vectors A and B each have magnitude S. When drawn with their tails at the same origin, the angle…

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Q: Two vectors have the following magnitude, A = 9.7 m and B = 14.6 m. Their vector product is:  A⨯B =…

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Q: You are given a vector in the zy plane that has a magnitude of 86.0 units and a y component of -58.0…

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Q: Two vectors have the following magnitude, A = 13.1 m and B = 14.1 m. Their vector product is: AxB =…

A: We know, A×B=ABsinθ   Thus, the angle will be, θ=sin-1A×BAB