What is the component of the force vector G = (3.0i + 4.0j  + 10.0k  )N along the force vector H = (1.0i  + 4.0j  )N ?

Q: B (15.0 m) D (10.0 m) 30.0 53.0 25.0 C (12.0 m) A (8.00 m) The Y component of the vector B shown in…

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Q: 12. What is the unit vector for P= 2i - 3j + 5z7| (a) 0.227i - 0.472j + 0.714z (b) 0.100i – 0.150j +…

A: 11) torque = moment of force = τ= r x F = dLdt= d(IW)dt from right hand rule if moment is positive…

Q: Two vectors , and F, lie in the xy-plane as shown in the figure below. If F, = 30 units, and F2 = 20…

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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: Given the following four force vectors in terms of their magnitude and directions, find the…

A: Given,  Four vectors in terms of their magnitude and direction. F1 = 534.7 N @ 135.4°F2 = 987.6 N @…

Q: Two vectors E, and F, lie in the xy-plane as shown in the figure below. If F, 30 units, and F2 = 20…

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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: 4) Two vectors, A= 2x 3y and B= 4x 4y. The magnitude of A+B is: A) 4.3 B) 5.1 C) 7.8 D) 6.4 E) 9.2

A: A→=2x^-3y^B→=4x^-4y^where x^ and y^ are unit vectors along x and y directionso…

Q: 9. The components of vectors U and V are given as follow: U. = -8.6 U, = 9.4 What is the magnitude…

A: Given: Ux = -8.6  Uy = 9.4 Vx = 10.7 Vy = 4.1

Q: Determine the magnitude of vector Q = 2i - 4j + 5k. a. 3√5 b. 6 c. √13 d. 5

A: Given data:  Vector Q = 2i - 4j + 5k Required: The magnitude of vector Q

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: What is the angle between the vector A = +3i - 2i - 3k and the +y-axis?

A: Given:Vector are,A→=3i^-2j^-3 k^  ...(1)B→=Along y-axisB→=y^=j^  .... (2)We know,cosθ=A→.B→|A||B|…

Q: Swing, swing. The vector in the figure has a magnitude of 40.0 [m] and makes an angle of 15.0° with…

A: Magnitude of the vector,=40 m Vector makes an angle of 15 degree with y axis

Q: For which of the following vectors is the magnitude of the vector equal to one of the components of…

A: Answer is vectors A and C.

Q: The three vectors in the figure have magnitudes a = 2.70 m, b = 2.60 m, and c = 10.4 m and angle e =…

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Q: Consider the vectors A = 2.0i - 4.0j + k, B = 3.0i + 4.0j + 10.0k, C = -3.0i - 4.0j, D = -3.0i +…

A: Given,A = 2.0i - 4.0j + 1kB = 3.0i + 4.0j + 10.0k C = -3.0i - 4.0jD = -3.0i + 4.0jE = -2.0i + 3.0j +…

Q: Two vectors are given by a = 2.5î + 5.6ĵ and b = 7.9î + 2.4ĵ. Find (a) a × b ,(b) đ b,(c) (a + b). b…

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Q: What is the equilibrant vector if you add all the vectors A, B, and C? A = 2i - 3j + 3k B = 4j +2i…

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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: Find the angle between vectors for (a)D= (-3.0i – 4.0j ) m and A = (-3.0i + 4.0j ) m and (b) D =…

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Q: For the vectors in the figure, with a = 8.0, b = 6.0, and c = 10 what are (a) the magnitude and (b)…

A: Given data:

Q: Q6. Three displacement vectors (A, B, and Ĉ) are shown in Figure, where the magnitude of the vectors…

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Q: Two vectors, A and B are defined as follows:   A lies 20° above the x-axis, and has a magnitude of…

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Q: The angle made by the two vectors A i + 4j + 5k and B = 5i + 7j + 9k is: A 14.80 degrees 34.80…

A: Given: A→=i^+4j^+5k^B→=5i^+7j^+9k^

Q: What is the magnitude of the vector, 12i – 8j – 24k, and the corresponding direction angles,…

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Q: If d1 + 5d2 = 5d3, d1 − 2 = 8d3, and d3 = 2i + 4j, then what are the following vectors in…

A: Let d1 = d1x i + d1y j and d2 = d2x i + d2y j from d1 + 5d2= 5d3 we get  (d1x + 5d2x) i + (d1y+…

Q: Given: u = K-4, -1>, v= , W = , and z = . Based on the components of the given vectors, match the…

A: Given vectors                                     u = -4,-1v = 0,-3w = 1,-1z =4,2 Now we have to…

Q: . Consider the vectors shown. Which is a correct statement about A + B ? A. x-component > 0,…

A: Given data:  Vector A = 8.00 m, towards negative y-axis Vector B = 15.0 m, 30° with positive y-axis…

Q: Determine the cross product of the following vectors A x B, write the component in the j-direction.…

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Q: vector A⃗A→ has components AxAx = -6.00 and AyAy = -8.00, then the magnitude of A⃗A→ is 14.014.0…

A: x component of vactor A = Ax = -6 unitsy component of vector A = Ay= -8 units

Q: The displacement vectors à and B shown in the Figure below both have magnitudes of 3 m. The…

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Q: Find the unit vector ˆeD in the direction of vector D~ = 1/2 ˆı +ˆj + 2/3 ˆk .   (a) 1/√ 61 3ˆı +…

A: The vector D can be given as, D→=12i^+j^+23k^

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: 10. What is the x-component of a vector with a magnitude of 175 m, 50° North of East? Round off to…

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Q: For the following three vectors, what is 50 (2 x B)? A = 2.00î + 3.00ĵ – 6.00k B = -3.00î + 2.00ĵ +…

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Q: B (15.0 m) D (10.0 m) 30.0 53.0 25.0 (12.0 m) A (8.00 m) The Y component of the vector D shown in…

A: For vector D Resultant (R) = 10 m Angle subtended with respect to y axis (θ) = 53°

Q: B (15.0 m) D (10.0 m) 30.0° 53.0 25.00 C (12.0 m) A (8.00 m) The Y component of the vector B shown…

A: Given data:  Magnitude of vector B = 15.0 m Angle with positive y axis (θ) = 30°

Q: 9. The components of vectors U* and V** are given as follow: U. = -8.6 U, = 9.4 What is the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Determine a unit vector parallel to the resultant vector of 2i + 9j – 9k lb, – 2i – 6j + 8k lb, and…

A: Given: First vector (v1)→ = 2i^ + 9j^ - 9k^ lbSecond vector (v2)→ = -2i^ - 6j^ + 8k^ lbThird vector…

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: The displacement vectors Á and B shown in the Figure below both have magnitudes of 3 m. The…

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Q: Calculate the angle of vector B that makes each coordinate axis if it has x, y, and z components of…

A: Given value--- it has x, y, and z components of 4, 6, and 3 units. We have to find--- Calculate…

Q: Which of the following vector magnitudes has a y-component 85.6 units and an angle 147.3 degrees?…

A: Given : Ay = 85.6 units θ = 147.3°

Q: (8c3p28) Given two vectors a = 3.5i -3.8j and b =6.8i+8.4j what is the magnitude (in m) of the…

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Q: y Ả = 13.0 m D = 11.0 m 22.0% 52.0° 44.0° 61.0° B = 14.0 m C = 9.50 m

A: solution as

Q: ssume the three force vectors interest at a single point.  P1= i + 3j + 4k P2= 2i + 7j - k P3= -i +…

A: GivenP1= i + 3j + 4k P2= 2i + 7j - k P3= -i + 4j + 2k

Q: results from (a) d→1⋅(d→2+d→3), (b) d→1⋅(d→2×d→3), and d→1×(d→2+d→3

A: As per rules... First three parts are posted.

Q: For the vectors in the figure, with a = 8.0, b = 6.0, and c = 10  what are the magnitude and the…

A: The values given are, a=8b=6c=10

Q: With the given three vector A, B, C. Determine the cross product of vectors A and C A= 2i - 3j + 4k…

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Q: He walks 2.0 km north, then turns and walks 4.0 km south of east. What is his displacement vector?…

A: Write the given values with suitable variables. d1=2 kmd2=4 km Here, d1 denotes the distance in the…