The two vectors a→ and b→ in the figure have equal magnitudes of 10.2 m and the angles are θ1 = 30° and θ2 = 101°. Find (a) the x component and (b) the y component of their vector sum r→, (c) the magnitude of r→, and (d) the angle r→ makes with the positive direction of the x axis.

Q: Given two vectors A⃗ =A→= 4.20 i^+i^+ 7.40 j^j^ and B⃗ =B→= 5.50 i^−i^− 2.20 j^j^ , find the scalar…

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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…

A: Given Magnitude of the two vectors are given as W→=0.30 m and Y→=50 N  Angle of Y→ with the +y axis…

Q: The figure below shows three vectors. The magnitudes are F1 = 5.0 N, F2 = 2.0 N, and F3 = 3.O N,…

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Q: Which of the following is used to find the component vector in the given direction? O a. Dot Product…

A: Dot product.   For a vector given with direction, the component can be found multiplying the…

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 each of the following pairs of vectors (1) A = 3.00i + 5.00j (2) A = -4.00i +…

A: 1) A→ = 3i^ + 5j^B→ = 10i^ + 6j^

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 = 5.4 m and B = 6.5 m. Their vector product is:  A⨯B =…

A: Given |A| = 5.4 m |B| = 6.5 m A x B  = (-2.2 m) i + (5.3 m) k

Q: If vector A=2ax+ay+2az and vector B=2ax+ay+2az, the cross product of A and B is а. (-1,2,2) b.…

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Q: (3î - î). B В and (h) B-B. 60" A 10 0 30° 30° 53 D 20.0 37 62. Assuming the +x-axis is horizontal to…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

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: Find the angle between vectors D = (2.0 i - 4.0 j + k) m ,  and B= ( -2.0 i +3.0j + 2.0 k ) m    A.…

A: Given-  D = (2.0 i - 4.0 j + k) m  B= ( -2.0 i +3.0 j + 2.0 k ) m  For finding angle we will use dot…

Q: The cross product of j x i is a. 0 b.1 c. –k d. -1

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

Q: 4 A -2 4 -2 Consider the two vectors, A and B, in the figure. The x and y components of both vectors…

A: Addition of two vectors A→=axi^+ayj^+azk^ and B→=bxi^+byj^+bzk^ is given by-…

Q: (In questions and answers, the letters i, j and k represent the unit vectors along the directions x,…

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Q: Given two vectors A = 7i+5j-2k, and B = 3i - 10j + 6k, what is the angle between the two vectors? O…

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Q: What is the vector product of A = 2.00 i^ + 3.00 j^ + 1.00 k^ and B = 1.00 i^ - 3.00 j^ -2.00 k^?

A: The given vectors, A→=2.00 i^+3.00 j^+1.00 k^B→=1.00 i^-3.00 j^-2.00 k^

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: What is the magnitude of a→×(b→×a→) if there is an angle φ = 23.0° between the directions of a→ and…

A: Since, a⇀⊥b⇀×a⇀ Then, The value of, a⇀=7.9b⇀=5.1ψ=23.0°

Q: In the ammonia (NH3) molecule of the figure, three hydrogen (H) atoms form an equilateral triangle,…

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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: What is the angle between two vectors A and B if A=4i + 12j +6k and B= 24i -8j +6k

A: If θ is the angle between two vectors A→ and B→, then cosθ=A→·B→A→B→

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: The angle (in degree) between vector A= 3i+3j-4k and vector B=i-5j+6k is 1. O161.2 2. O141.6 3.…

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Q: 11.What is the angle between A = î + ĵ and B = ĵ – k ? 30° ® 45° = 50 cm with a vector B is 0 and…

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Q: The three vectors in the figure have magnitudes a= 3.20 m, b 2.70 m, and c 10.3 m and angle 0=…

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

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Q: In the ammonia (NH3) molecule of the figure, three hydrogen (H) atoms form an equilateral triangle,…

A: Given:  An ammonia(NH3) molecule. Distance from center of the triangle, d = 9.40 x 10-11 m  Mass…

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: Find the cross product A x C for (a) A = 2.0i – 4.0j +k and C = 3.0i + 4.0j + 10.0k, (b) A = 3.0i =…

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Q: 1 2 3 y 8 4 7 6.

A: The vector r from 1 to O is given by:

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: The magnitude of two displacement vectors are d and 2d, and the magnitude of the total displacement…

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Q: If A + B = 6i + j and A - B = - 4i + 7j, then the angle (in degrees) enclosed between the two…

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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: If S = (1 m) i + (2 m) j + (2 m) k and T = (3 m) i + (4 m) k, the angle between the two vectors a)…

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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: Given E= 1 ar the vector at point (x=1.y=7.z-8) in rectangular form is E = 0,00082156650138745a, 2…

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Q: C = 12.0 B = 5.0 F= 20.0 60 A A = 10.0 30 B. 30° 53° D= 20.0 37° Assuming the +z-axis is horizontal…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: Two points in the xy plane have Cartesian coordinates (3.50, –5.00) m and (-6.50, 6.50) m. (a)…

A: Given: The coordinates of the points are 3.50, -5.00 and-6.50, 6.50

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: What is the scalar and vector product of A and B respectively, if A =2.2 î+3.4 ĵ B=4.4 î+2.0 ĵ

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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: Consider the three vectors A= 4.2i+3.9j+6.5k, B=-9.1i+1.3j+6.4K, and C=8.8i-2.9j+3.2k. (A) what is…

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