A vector is given by: i = (-4.897 ) î +(-7.303) ; Determine the magnitude of the this vector.

Q: Find a vector of magnitude 8 in the direction of i = (-4, –6, –1). Vector is Find a vector of…

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Q: The x component of vector A is 3 units, and its y component is -4 unit The magnitude of A is

A: Given    The x component of vector A is 3 units, and its y component is -4 units. The magnitude of A…

Q: The vector (3, 45°) is equal to (1.83, 2.83) in rectangular coordinate O (1.83, 1.83) in rectangular…

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Q: The components of vector A are: Ax=5.6 Ay= -4.7 What is the angle between vector A and positive…

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Q: let vector a = , vector b = , vector c= Evaluate: vector a*(vector a*vector b) / |vector c|^2

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Q: Determine the angle between the directions of vector A = 3.00i + 1.00j and vector B = -3.00i +…

A: Basically when we make dot product of two vectors then we get the angle between the vectors. Here…

Q: If vector A has an x-component of 2.80 m and a y-component of 5.05 m, and vector B has an…

A: Given data:  x-component of vector A (Ax) = 2.80 m y-component of vector A (Ay) = 5.05 m x-component…

Q: Vector V with magnitude | V | forms an angle with the positive x-axis. Give the magnitude of the…

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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: Given the two vectors A= 20.0 @ 30.0° and B= 17.0 @ 60.0°., What is A+ B in unit vector notation?

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Q: Consider the vector v→=0.5t8ı^−13t2ȷ^. Using this vector, evaluate the derivative of the magnitude…

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Q: What are the x and y components of a vector of magnitude 100 making an angle of 45? with the…

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Q: Sketch and determine the magnitude and the direction cosines of the vector given a position. d Rx Ry…

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Q: If a vector has a x-component = - 53.7 m and a y- component = -12.3 m, what is the direction of the…

A: The vector diagram for the provided vector is:

Q: The x component of the vector is -3.5 units, and its y component is -4.5 units. The magnitude of…

A: Given, X component(X) = -3.5 Y component(Y) = -4.5

Q: A vector is given by its components x 2.5 m and y =7.5m. What angle does the vector make with the…

A: Given: x-component of a vector, Ax=2.5 m y-component of a vector, Ay =7.5 m   To determine angle…

Q: Calculate the x-component and the y-component (in m) of the vector with magnitude 12.0 m and…

A: x-component =12 cos 54°                        =7.05 my-component=12 sin 54°…

Q: A vector  A  has components  Ax = −6.50 m  and  Ay = 8.50 m.  Find the magnitude (in m) and the…

A: (a) Magnitude of A is 10.7m.

Q: Consider the two vectors, A=17x+11.5y, B=4.5x-3.5y. What is the angle of the vector A-B, measured…

A: Vector A-B can be found out using A-B = (17-4.5)x +(11.5-(-3.5))y  A-B = (12.5)x+(15)y

Q: Given two vectors with equal magnitudes of 59 and their sum vector 93j. Find the angle between them.

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Q: What is the angle between the directions of vector A = 3.00i + 1.00j and vector B = -3.00i + 3.00j?

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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: The components of a vector are Ax = 2.9 and Ay = 5.3, and the components of a vector are given are…

A: Given data: Vector A=Ax+Ay ⇒ A=2.9 x + 5.3 y         (1) Vector B=Bx+By ⇒ B=7.7 x -10 y…

Q: A vector ?⃗ = (−1.2 m)?̂+ (1.8 m)?̂. Find the magnitude and angle (between 0° and 360°, measured…

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Q: Two vectors, A  and B  have their tails at the origin and are described by parameters (r,θ), where r…

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Q: What would be the the  x component of the resultant vector if I add two vectors one with a magnitude…

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Q: The magnitude of a given vector with end points (4, - 4, 0) and (- 2, – 2, 0) must be (а) 6 (b) 5/7…

A: Given--- ends coordinate of a vector-    A ( 4,-4,0 )   and     B ( -2,-2,0 ) We have to find---…

Q: If the angle between the vector A and the positive x-axis is 40°. What is the x component of the…

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Q: If the vector = 5 N and the angle with x-axis is ?= 36.80, then the rectangular form of the vector…

A: Given,Magnitude of the vector, R = 5 NAngle with the horizontal or with x - axis, θ = 36.80°

Q: What is the direction of the resultant vector from +x-axis counter clockwise of vectors A = 2.0 m,…

A: Given Data: Vector A length, A=2 m & inclination angle, θA=35° Vector B length, B=5 m &…

Q: The vector B has components Bx -2.10 m and By = -1.70 m. Find the direction angle, for this vector?

A: Given: B→=Bx→+By→=-2.10 i^-1.70 j^ m

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

A: The x component and y component of the vector is ,

Q: Given vectors a=(10,-9) and b=(0,-5) Find the magnitude of the resultant vector: T = 3 a + 26

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Q: Given vectors a=(9,-6) and b=(3,-2) Find the magnitude of the resultant vector: T = 3à +26

A: Given  a=(9,-6) b=(3,-2) r=3a+2b (where r, a and b are vectors)

Q: What are the polar coordinates of a vector whose component vectors are -6.50 m vertically and +9.60…

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Q: Given vector A=2i-3j and vector B = 2i -4j. If vector C = A -2*B then C equals ..

A: Given data:  vector A=2i - 3j and vector B = 2i - 4j Vector C = A - 2B Required: The vector C

Q: Calculate the x-component and the y-component (in m) of the vector with magnitude 20.0 m and…

A: Given information:Magnitude of the vector (r) = 20.0 mInclination of the vector (θ) = 20.00

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: Calculate the x-component and the y-component (in m) of the vector with magnitude 20.0 m and…

A: Given Data: The magnitude is given as, A=20 m The angle is given as, θ=38°   Draw the diagram…

Q: Given 3 vectors: Vector 1 is 500N at 300, Vector 2 is 300N at 1500 and Vector 3 is 400N at 2700,…

A: Given: Magnitude of Vector 1 = 500 N , Angle of Vector 1 = 30o Magnitude of Vector 2 = 200 N , Angle…

Q: A vector of magnitude 3 CANNOT be added to a vector of magnitude 4 so that the magnitude of the…

A: From the triangle law of vector addition, if two vectors a→and b→are at an angle θthen the magnitude…

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: The x component of the vector is -5.3 units, and its y component is 2.3 units. The angle that the…

A: A→=-5.3 i^ + 2.3 j^A=5.32+2.32=5.77A^=AA→→=-5.3 i^ + 2.3 j^5.77

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: For the vectors and shown, find the magnitude and direction of (a) the vector sum + (b) the vector…

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

A: We need to calculate the magnitude of the vector sum of the given two vectors using the component…

Scalars and Vectors

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