The figure shows two vectors (A and B), find the magnitude and direction (angle) of  A+B.  (Answers: 10.7, 26.80)

Q: The resultant force is [resultant] and the angle of direction from the positive horizontal axis of…

A: Let the vector MN be vector A and It can be represented as, Here, Ax, Ay, and θA represent the…

Q: Solve for the required using the given vectors A = 31 – 8j + 6k B = 4 j+ 9k - 5i с. (А х В) x С C =…

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Q: B (15.0 m) Ď (10,0 m) 30.0 53.0 25.0° Č (12.0 m) Å (8.00 m)

A: Given that Vector A→ = -8 j^ m Vector D→ = [-{10sin(53°)} i^ + {10cos(53°)} j^ ] m where i^ and j^…

Q: Find the x-component of this vector: 42.2° 101 m Remember, angles are measured from the +x axis.

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Q: Consider the vectors A and B in component form attached below. What is the angle (in degrees)…

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Q: two vectors A and B have magnitudes A=2 and B= 5. if the angle between them is 40 degree find the…

A: The magnitude of the cross product is given by  A→×B→ = A B sinθ where, θ is the angle between two…

Q: A unit vector has the magnitude of

A: The answer for the given question is given in the next section.

Q: find the angle between two vectors, 6 and 8units long, when their is 10 units long and 4 units long

A: Use cosine theorem When 10 units long a = 6 , b = 8 and c= 10 (10)2  = (6)2 + (8)2 + 2×6×8 cosA  100…

Q: QUESTION 9 3.81 ↑ + A= 1.04 4.74 + 4.83 + 1.61 î+ 3.22 Calculate the angle between vectors A and B…

A: cos(theta) = A.B/|A| |B| theta is the angle between A vector and B vector A.B = dot product of A and…

Q: Two vectors (M = 3ax+2a- 5az) and (N = 6ax–2ay-5az), find the perpendicular to these vectors?

A: If given vectors are perpendicular to each other, then their dot product would be zero.…

Q: Vector and label it as "R." 1. 2. 4. 3.

A: Two vectors can be added by parallelogram law of vector addition

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

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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: y | 10.00 m A 70 30.Co -10° В 8.00 m 15° D 5.00 m 9.00 m

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Q: Add each component Vectors to find a Resultant Vector and label it as "R.". 1. 2. 6. 5. R R. 7. 8.…

A: The vectors can move along their line of action.  In the first step, move the vectors in such a way…

Q: Calculate the angle between the vectors: Ã= 6.11-3.0j-6.8k and B = 8.3i+2.9j-6.7k. %3D

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Q: Two vectors A= 17 - 2j and B = 2î + 3j. Find the approximate angle between the vectors (-3A) and…

A: Given:- vector,  A=i∧ -2j∧                              B=2i∧+3j∧Mutliply  by -3  in vector  A then…

Q: What is the angle between vector à = 4î + 2ĵ + 5k with x-axis? 53.4° O 172.6° O 41.7° O 72.6° O

A: Given data The vector equation of vector A is given as A→=4i^+2j^+5k^.

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

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Q: Find the resultant of two unit vectors having an angle of 60◦ between them. Also find the angle.

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Q: Find the component and/or resultant vectors. 62 m/s Vx = Angle 0 = Vx 85 m/s V V = 11.1 m/s Angle 0…

A: The component vector Vx=hyp2-adj2=85 m/s2-62 m/s2=58.1 m/s≈58 m/s

Q: What is difference between a polar vector and an axial vector?

A: If a physical quantity have both magnitude and direction, then it is called vector.

Q: Calculate the resultant of a horizontal vector with the magnitude of 4 units and a vertical vector…

A: OB is the horizontal vector, BA is the vertical vector and the resultant is OA.

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: 8 units. If the angle Consider the two vectors A = 5 units and B between the two vectors is 37°,…

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Q: 52. A vector makes an angle 0 with the horizontal. The horizontal and vertical components of the…

A: The horizontal component of the vector is given as,

Q: Find the angles that vector Ď = (2.5î – 4ĵ + k) m makes with the x-, y-, and z- axes. 0x Oy = = 0₂:…

A: GIVEN: D= 2.5i^-4j^+k^

Q: The horizontal and vertical components of a vector are 23.6 N and 34.8 N, respectively. What i: the…

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Q: wo vectors (M = 4ax - 6ay) and (N = 6ax - 2ay - 5az) , find the vector perpendicular to these…

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Q: In cylindrical coordinater the vector À ii given by A Find 7À and vxĀ. (10P)

A: Divergence of A is zero. Curl of A is -1/ρ.

Q: Consider the two vectors given in the figure, what is their SUM in the unit vector notation?

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Q: Vector A = 7.4 i + 3.2 j.  Vector B = 3.7 i - 7.1 j. Calculate the angle between the two vectors in…

A: Given data The vector A is given as A = 7.4 i + 3.2 j The vector B is given as B = 3.7 i – 7.1 j.…

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: Vectors Aand Bhave equal magnitudes of 5.00. If the sum of Aand Bis the vector 6.00j, determine the…

A: Given Information: The magnitude of the vector A and B is “5.00” Given that the resultant vector of…

Q: What is the angle between vector Å = 5î + 2ĵ + 9k with x-axis? 130.8° 30.8° 80° 61.5°

A: Given: The vector A is 5i^+2j^+9k^. The unit vector along the x-axis is i^.

Q: The figure shows three vectors and their magnitudes and relative directions. The magnitude of the…

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Q: Find the resultant vector of vectors A and B shown in the figure. * Y 50° 70 A = 17 m/sec B = 44…

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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: Find a unit vector directed from (0, 1, 5) to (2, -2, -1)

A: Given: A(0,1,5)  B(2,-2,-1)

Q: Find the direction of the vector sum of these two vectors by using components: 65 mm, 55 ∘∘; 70 mm,…

A: The component form of a vector is the coordinate form in which vector can be broken in to…

Q: Calculate the angle between Vector A and Vector B

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Q: Consider two vectors A= 6.75 i+(-3.53 k) and B= (-4.1j)+1.08 k. Find the angle between these two…

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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: Find the angle between vector a and b if a 2i +j - k and b= 3i - 6j + 2k

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Q: Find a unit vector (a) in the direction of v and (b) in the direction opposite of  v = ⟨6, 0, 8⟩

A: Let us consider v⇀ having coordinates (6,0,8) respectively. v⇀=6i^+0j^+8k^ v⇀=6i^+8k^ ------(1)…

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: Consider the following 2 vectors: A –3.29 ; +5.49; B =1.64 ;+4.09; What is A. B? Please express your…

A: Given data:  A→ = 3.29i^ + 5.49j^B→ = 1.64i^ + 4.09j^ Required: The dot product of vector A and…

Q: Consider the vector A= 6î + 6j+7k. What is the angle between the vector A and у-ахis? a. 50.5°

A: Given  Vector A=6i+6j+7k Y axis is represented by B=j