Find the magnitude and direction cosine of the vectors Vector a = 3i + 7j - 4k vector b = i - 5j - 8k and vector C = 6i-2j + 12k

Q: For the following vector r =3i -10j , find the direction

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Q: Given the vectors a= -i+j-2k and b= 2i+j+k, find a vector perpendicular to a and b

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Q: A coconut falls freely from the tree until it hits the ground with a speed of 10 meters per second.…

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

Q: Vector A = 4i. Different values for vector B are given below. Which does NOT make an angle of 60…

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Q: The figure below shows four position vectors, A, B, C, and D. Their directions are given in the…

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Q: Let v = -5i+5j be a vector. Find a unit vector that points in the same direction as v and give…

A: The objective of the question is to find a unit vector that points in the same direction as the…

Q: Solve for the magnitude of the resultant and the direction cosines of the following cartesian…

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Q: You have two vectors. Vector A - 31 +43 and vector B = 62 - 53. What is the direction of 3A + 2B?

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Q: Vector A = -1i -2j and vector B = 3i+4j what are the magnitude and direction of vector C =A+B.

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Q: The displacement vector A has a magnitude of 5.0 m. Determine the components Ax and Ay in the…

A: Given data:  Magnitude of displacement vector A A = 5.0 m

Q: You are given 3 vectors: p = j - 3k, q = -2i - j - 3k and r = 4i + j + 3k. You are informed that…

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Q: Identify which of the following vectors are perpendicular to C. Vector C 45 30° 45° 30 10 45 45° 45…

A: Perpendicular to the vector, as said to those vectors which makes a right angle with the vector.

Q: Given a= 2i+j, b = i-4j+k and c=j+k, (where i, j and k are unit vectors in x,y and z directions…

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Q: Find a unit vector perpendicular to i+j+k and 2i+3j-k

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Q: What is the sum of the following four vectors: a. In unit vector notation b. as a magnitude and an…

A: The vectors are given as: A→=(3 m)i+(5 m)jB→=[(3 m)cos178°]i+[(3 m)sin178°]j=(−2.998 m)i+(0.1047…

Q: is the direction of the vector at point c in the i, j, i-j or negative j.

A: Direction of vector at a given point is always along the normal.

Q: Let vector E = (9 i + 7 j) and vector F = (7 i - 10 j). Find the magnitude of E. Find the…

A: E→ = 9i^ + 7j^F→ = 7i^ - 10j^

Q: A = 15m due West To get from one office to another in a company, a man travels as follows: B - 25 m,…

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Q: e direction of the resultant of vector A moving 21 km/hr, north and vector B heading 12 km/hr, East

A: consider north as positive y direction and east as positive x direction therefore  resultant vector…

Q: Determine the angles made by the vector V = -15i + 52j with the positive x- and y-axes. Write the…

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Q: y (north) (5.0 m) x (еast) 30° A (15.0 m) For the two vectors shown on x-y axes in the figure, what…

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Q: Vector A has a magnitude of 8.0 m and points east, vector B has a magnitude of 5.0 m and points 30°…

A: Given data The magnitude of the vector A is 8 m. The magnitude of vector B is 5 m and points 30°…

Q: calculate the vector axb when a=3i+4j-3k and b=i+3j+2k

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Q: Determine the angles made by the vector V = -60i + 44j with the positive x- and y-axes. Write the…

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Q: Consider the following two vectors: A = 37i - 47j and B = -19j a. Find the magnitude of the vector…

A: Given that:- Vector A=37i-47j and Vector B=-19j

Q: Three vectors are shown in the figure below, along with an x-y coordinate system. y (m) 34 2- A -5…

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Q: Given two vectors A= 4.00i + 7.00j and B= 5.00i - 2.00j. Find the magnitude of each vector.

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Q: What is the vector A= i+2j+3k B= 4i+5j+6k

A: Resultant  A+B = i+2j+3k+4i+5j+6k  A+B = 5i+7j+9k  Magnitude of A+B = √(52+72+92) = 12.45

Q: Vector A points to the right and vector B points to the left with a magnitude equal to 2A.  What…

A: Magnitude of vector A is A (to the left) Magnitude of vector B is 2A (to the right)

Q: Given vectors a=(4,8) and b=(-3,0) Find the magnitude of the resultant vector: T = 2 a + 36

A: Represent the vectors a and b in their resolved component.

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: Given Two vectors are given by A = 4.00 i + 7.00 j B = 5.00 i – 3.00 j

Q: what is the resultant magnitude and directions? Given the vectors A= 6i + 9j, B = -9i + 9j, and C=…

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Q: Given vectors a=(-4,-5) and b=(-9,-7) Find the magnitude of the resultant vector: r=5a-3b

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Q: In unit vector notation, å, and åz vectors are given as å, = -3î + 6ĵ + 2k and åz = -2î – 5j + 2k.…

A: Introduction : Angle between two vectors can be found by taking their dot products. Given :…

Q: Given are the magnitudes of two vectors. Find the magnitude and direction of the vectors. Sketch the…

A: Given:-  The magnitudes of two vectors. E= 60. 5m, North; F= 93.1 m,  South      G= 4.30N North ;…

Q: The direction of the vector A = 4 i +4j is O 0° O 45° O 90° none of these

A: Given data: The vector, A→=4i+4j              (1)

Q: A vector has a magnitude of 30 and a direction of 40°. Another vector has a magnitude of 70 and a…

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Q: Determine the direction vector for the vector displayed

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Q: The figure shows four vectors, A, B, C, and D, having magnitudes 8.0 m, 15.0 m, 12.0 m, and 4.0 m,…

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Q: The route followed by a hiker consists of three displacement vectors A,B ,c Cand . Vector  A is…

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Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.