Two vectors P= 2i + bj + 2 and a-i+j+k will be parallel if (d) b=- 4 (a) b= 0 (b) b = 1 (c) b = 2

Q: Find the angle between each of the vector pairs: A) A = -2.00i + 6.00j and B = 2.00i - 3.00j B) A…

A: Given vector pairs   A) A = -2.00i + 6.00j and B = 2.00i - 3.00j B) A = 3.00i + 5.00j and B = 10.00i…

Q: Two vectors are given by a = 2.07 + 5.0j and b = 3.0i + 9.0j. Find (a) a x b", (b) a. b", (c) (a* +…

A: Given:a = 2.0 i^ + 5.0 j^ ................eq(1)b = 3.0 i^ + 9.0 j^ ................eq(2)

Q: Three vectors A = 2i+j-k, B = i+j-2k, and C = i +3j-k, where SB + C is perpendicular to A, the value…

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Q: Given vectors: A = 3 i + j – k, B = - i + 2 j + 5 k, C = 2 j – 3 k.  Find: 1) C ٠ (A + B) 2) C x…

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Q: Consider the following vectors: F = i-2j-3 k G = 2 i-4j-6 k H = i+j+k Find the value of the vector D…

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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: Given that u is a vector of magnitude 2.5, v is a vector of magnitude 3 and the angle between them…

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Q: Given the two vectors A= 20.0 @ 30.0° and B= 17.0 @ 60.0°., What is A+ B in unit vector notation?

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Q: Find the angle between each of the following pairs of vectors. A = -2.00i + 6.00j and B = 2.00i –…

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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: Given the two points P(1,2,3) and Q(2,-2,1) find the vectors

A: Tail of both 'vector lies on origin

Q: are given by đ = 3.01 + 3.0j – 2.0k, 37 Three vectors b = -1.0i – 4.0ĵ + 2.0k, and 7 = 2.01 + 2.0j +…

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Q: Find the angle between the following pairs of vectors: A= -2.00i + 6.00j and B= 2.00i - 3.00j

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Q: B 130.0° 53.0° The magnitude of the vectors are A=6N and B=7N What is the rectangular component of…

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Q: Given that vectors T = + 2.00x + 6.00y – 4.00z and D = 2.00x – 3.00y – 4.00z The angle between the…

A: Given that Vector T = +2x + 6y - 4z Vector D = 2x - 3y - 4z

Q: Three vectors are represented by A, 4.2∠45◦, B, 5.5∠−32◦ , and C, 2.8∠75◦. Determine in polar form…

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Q: You are given two vectors A = -3.00i +7.00j and B= 8.00i + 2.00j. Let counterclockwise angles be…

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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: 3 = 37 + 4ĵ +5k and M = 31 +4ĵ +5k js; The angle made by the two vectors

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Q: Given vectors P=(3 m, 4 m) and Q=(4 m, 3 m), find the angle of P + Q.

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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: if A⃗ =2i+3j+6kA→=2i+3j+6k and A⃗ =3i−4j+2kA→=3i−4j+2k, then the angle between the two vectors is

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Q: 1.45 • Find the angle between each of these pairs of vectors: (a) Ả = -2.00î + 6.00oĵ and B = 2.00î…

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Q: What is the angle between the two vectors A = 2i + 3j and B = i- 2j is * A 0° 120° 90° 60°

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Q: Given these vectors: A = (0.9)î + (-9.8)ĵ+ (7.8)k B = (8.7)î + (0.2)ĵ+(-8.9)k | Find the value of…

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Q: Vectors C and D have magnitudes of 3 m and 4 m, respectively. What is the angle between the…

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Q: Show that the force vectorD ⃗ = (2.0i ^ − 4.0j ^ +k ^ )N is orthogonal to the force vector G ⃗ =…

A: Given The force vector D ⃗ = (2 î − 4 ĵ +1 k̂) N. The force vector G ⃗ = (3 î + 4 ĵ +10 k̂) N. If…

Q: 1. Consider two displacement vectors Ā = (-2î + 4f) m and B = (î – 3f) m, find the magnitude and…

A: 1. Given: A→=-2i^+4j^ mB→=i^-3j^ m

Q: Determine the angle between the directions of vector A = 3.00i + 1.00j and vector B = -3.00i + 3.…

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Q: Find the angle between each of these pairs of vectors: a. Ã = -2.00î + 6.00ĵ b. Ã = 3.00î + 5.00ĵ c.…

A: a) We know that,

Q: For the following three vectors, what is 3 · Ć · (2Á × B ) ? = 4.00î + 3.00ĝ – 4.00k B = -3.00î +…

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Q: The point specified by the Cartesian coordinates (3, 5) is which of the follow when converted to…

A: cartesian coordinate of a given point = (3,5)

Q: 7.60 In Problem 7.59, what is the vector component of F parallel T to the surface?

A: As A is at the centre of the plane so, The coordinate of A will be half of the plane's coordinate:-…

Q: Two vectors are given (a = 6 i – 20 j, b = - 7 i + 10 j). Find a + b, a – b, a vector c such that a…

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Q: Given two vectors A⃗ =−2.00i^+3.00j^+4.00k^A→=−2.00i^+3.00j^+4.00k^ and B⃗…

A: A→ = -2i^ + 3j^ + 4k^B→ = 3i^ + j^ - 3k^

Q: Find the angle between the following pair of vectors;  A=-4.00i + 2.00j and B = 7.00i + 14.00j

A: The angle between the two vectors is cosθ=A→·B→A→B→ Here A→ and B→ vectors.

Q: The three vectors given are ā = 5.0 î+4.0 j-6.0 k b =-2.0 i+2.0 j+3.0 k č = 4.0 î+3.0 j+2.0 k The…

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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: Vectors A ⃗ and B ⃗ are two orthogonal vectors in the xy-plane and they have identical magnitudes.…

A: Given data: A→=3.0i^+4.0j^ A→=B→

Q: Find the angle between the vectors Ả = 2.00î + 3.00ĵ + 1.00Â B = -4.00î + 2.00ĵ – 1.00k and

A: The angle between two vectors is given by, cosθ=A·BABθ=cos-1A·BAB

Q: Two vectors A and B have precisely equal magnitudes. For the magnitude of A + B to be larger than…

A: The given condition is,

Q: If the two displacement vectors with magnitudes of 6.0 m and 8m which could not be a possible choice…

A: The resultant of the displacement will lie between the maximum and minimum value of the resultant of…

Q: For the pair of vectors, find U + V, U − V, and 4U + 2V. U = −9i + 9j, V = 9i + 9j

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Q: show that the vectors A= 1/2 q1+ 1/2 q2+1/2 q3+ 1/2 q4 and B= 1/2 q1 - 1/2 q2 + 1/2 q3 - 1/2 q4 .…

A: Dot product is defined as: A⇀.B ⇀ = ABcos(θAB) The dot product of orthogonal vectors is 0, since the…

Q: given two vectors A= -3.00i + 7.00 j and B= 8.00i + 2.00 j. Let counterclockwise angles be positive.…

A: For any vector in a cartesian plane given as A→=Axi^+Ayj^, such that both the components of vector…

Q: Three vectors are given by a = 5.00î + (-4.00)ĵ + (5.00)k, b = 2.00î + (-1.00)ŷ + (3.00)k, and ? =…

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