on subtituting the rupected valuej in the above relation we get: R= 2 cos ST + asın i5 +4 cos 25i + 4 sin 253 + G cos 01 -G sin 805 = 1.9319 +3. 6259 + 1-041 t 0.5179 + 1.6909 -5.908 J = 6.5 977 -3.701 Magnitude of vector is given by- The direction of vector is given by-

Q: Three vectors á, b, and c, each have a magnitude of 53.0 m and lie in an xy plane. Their directions…

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Q: Answers: a) -3 b) 39 i +15 j +18k c) 4. What are the x and y components of the vector a, which lies…

A: The magnitude of the vector a, a=7.3 m The angle of vector with the positive x axis, θ=250° The…

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Q: The components of vector are A = - 3.5 and A = - 5.4, and the components of vector , are B = -4.3…

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Q: A vector, → A , has the components, Ax= -1.2 m, Ay= 2.1 m and Az= 0 m. Another vector, → B has…

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Q: If a particle moves from point P (2,3,5) to point Q (3,4,5). Its displacement vector be * O i+j+ 10…

A: Explanation and formula :- When a particle moves from a point Ax1,y1,z1 to a point B x2, y2, z2 then…

Q: If a vector  has components Ax = -4 and Ay = -3, then  lies in the ______________. a. 2nd quadrant…

A: We need to tell where this given vector lies (which quadrant).

Q: For the vectors á (3.0 m )î + (4.0 m )j and B = (5.0 m )i + ( – 2.0 m 3, give d + b in (a) unit-…

A: a) a+b = (3i+4j)+(5i-2j) a+b= 8i-2j Magnitude of (a+b) = √(8²+2²) = √68 So unit vector =…

Q: To get from one office to another in a company, a man travels as follows: B = 25 m, 53° East of…

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Q: Vector A has magnitude 150.0 mm along the x-axis. Vector B has magnitude of B at an angle of 115°…

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Q: Find the angle between the following pair of vector: A= 3.00i + 5.00j and B= 10.00i + 6.00j

A: Given, A=3.00i+5.00jB=10.00i+6.00j

Q: Find a unit vector parallel to the resultant vectors y, = 12i – 6j + 4k and Y: =- 8i + 3j – 5k.

A: …

Q: Find the sum of the following four vectors ((a) and (b) for x and y components respectively), and as…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: ind the magnitude of vector C if C = A + B and A= -2.00i + 3.00j + 4.00k & B= 3.00i + 1.00j - 3.00k.…

A: A = -2.00 i + 3.00 j + 4.00 k & B = 3.00 i + 1.00 j - 3.00 k The vector C is given by  C→ = A→ +…

Q: 2. Given 3 vectors: Vector 1 is 500N at 30°, Vector 2 is 300N at 150° and Vector 3 is 400N at 270°,…

A: Given data:  Force (F1) = 500 N at 30° Force (F2) = 300 N at 150° Force (F3) = 400 N at 270°…

Q: What is the principal angle a vector located at 52° South of East? O 308° O 142° O 238° о 38°

A: Given, A vector , 52° South of East . Principal angle is the angle in anticlock wise direction from…

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Q: Draw and find the sum of the following four vectors in (a) unit-vector notation, and as (b) a…

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Q: Given the displacement vectors A = (7.00 i - 2.00 j + 7.00 k) m and B = (8.00 î + 1.00 j - 8.00 k)…

A: (a) 15.0665 m       (15.00) i + (-1.00) j + (-1.00) k (b) 23.345 m        (6) i + (-5) j + (22) k

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

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Q: Find a unit vector parallel to the resultant vector RAB of position vectors RA (2,4,-5) and RB (1,…

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Q: Section 1.9 Unit Vectors 1.34 In each case, find the x- and y-components of vector A: (a) A = 5.01…

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Q: Find a vector equation for the line through the point (8, –1, -2) parallel to the line x = 13 + 8t,…

A: Given  X = 13+8t Y = 24-5t Z = 39-2t Poin on line is (8,-1,-2)

Q: Find the sum of the following four vectors ((a) and (b) for x and y components respectively), and as…

A: Let's first start by finding the x and y components of each vector. Vector 1: 12.0m at 27.0-degrees…

Q: Two vectors are given by A = 4.00 i + 7.00 j and B = 5.00 i – 3.00 j. What is the resultant…

A: A→ = 4i^ + 7j^B→ = 5i^ - 3j^

Q: 22. Three displacement vectors of a cro- quet ball are shown in Figure P3.22, where A 40.0 units,…

A: The resultant displacement is r.

Q: Draw the following vector. Determine the resultant vector. (scale: 1cm = 10 mm) or make your own…

A: Write the vectors A, B and C. A=4cos40i+4sin40jB=-3cos40i+3sin40jC=3.5cos45i+3.5sin45j

Q: Given A = 5.00i + 4.00j, B = 3.00j - 7.00k. Find the vector C = 2A - B %3D O + 4i – 10j – 7k O- 10j…

A: Given: A=5.00i+4.00j  B=3.00j-7.00k  To Find: C=2A-B

Q: 41. The and Ay Bx = displacement vector A has scalar components of A, = 80.0 m 60.0 m. The…

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Q: The magnitude of vector A is 5.5. Vector A lies in the second quadrant and forms an angle of 34…

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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: Vector A is given by A = 3.00ź + 5.00j. Vector B is given by B=B,i+B,j, where B. = 5.81 and B, =…

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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: Calculate the x-component and the y-component (in m) of the vector with magnitude 16.0 m and…

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Q: Vector A is 30° to the left of the negative y-axis. Vector B is 65° above the negative x-axis.…

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Q: F3 65° 35° F, The magnitude of the vector is F2=1.5N .What is the rectangular component of vector F2…

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Q: Given the 3-dimensional vectors : A = i (xy) + j (2yz) + k (3zx) B = i (yz) + j (2zx) + k (3xy).…

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Q: Given three vectors; A = 5m West, B = 8m East and an unknown vector C which lies along the x- axis.…

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Q: Given the vectors A = (-2î + j) m and B = (4î – ĵ) m- The direction of the resultant vector R = Ã +…

A: The given vector A is  A→=-2i^+j^m The vector B is  B→=4i^-j^m The resultant vector…

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: Given the vectors Ā = (-2î + ĵ) m and B = (4î – j) m: The magnitude of the resultant vector R = 2Ã +…

A: Given data: Vector A is, A→=(-2i^+j^) m. Vector B is, B→=(4i^-j^) m

Q: 1. Vector A = 1.00 i +-2.00 jand vector B-3.00 +4.00. What are the magnitude and i direction of…

A: Given:A→ =1 i^ - 2 j^B→ =1 i^ - 2 j^Solution:C→ = A→ + B→Applying values we get:C→ =1 i^ - 2 j^ + 1…

Q: Vector A has a magnitude of 8 units and makes an angle of 45.0 degrees with the positive x-axis.…

A: For vector addition, we resolve each vector into horizontal and vertical components and then add…

Q: Two vectors are given by A = 4.00 i + 7.00 j and B = 5.00 i - 3.00 j. What is %3D the resultant…

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Q: Given three vectors A= 5m W, B= 8m E, and an unknown vector C which lies along the x axis. If the…

A: A→ = 5 m due west B→ = 8 m due east Resultant of three vectors = R→= 2 m due west

Q: Under what circumstances would a nonzero vector lying in the xxyy plane ever have components that…

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Q: Vector A = -3.00i + 3.00j and vector B = 3.00i + 4.00j. What is vector C = A + B? a. 7.00i + 7.00j O…

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Q: Given the following vectors: A=2i+4j, B=51-j, and C=10i+2j, find the resultant vector R.

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Q: 2. Given vector: p= r? cos0 î + p² coso Ô + r² cos0 sino o Find V. p 3. If U and V are displacement…

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