Calculate the magnitude of the horizontal and vertical components of a vector that is 100 units long and is oriented at 45°.

Q: Find the vector sum of A and B if A is 6.5km, south, and B= 4.0 km, 45 degrees south of east

A: Resultant of two vector can be determined by parallelogram law of vector.

Q: A vector has a magnitude of 3.7 m and points in a direction that is 145 ° counterclockwise from the…

A: R = 3.7 m  Angle, A = 145 degree

Q: Calculate the total length obtained by adding the x-axis component of both vectors as shown in the…

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Q: Find the x-component of this vector: 92.5 m 32.0° Remember, angles are measured from the +x axis.…

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Q: For vectors B = (-1, -4) and Ä = (-3, –2), calculate (a) Ä + B and its magnitude and direction…

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Q: What are the horizontal and vertical components of a vector 15m, 30° south of east? * 8m and 13m О 1…

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Q: Consider the vector whose x- and y-components are given to be -4.9468 and 3.463, respectively.…

A: Given that,x- component of vector  Ax=-4.9468y- component of vector Ay=3.463

Q: Classify each quantity as a vector, a scalar, or it cannot be determined. In the figure, Arrow A has…

A: they give you a table of quantity in which you have to classify that the quantity is scalar or…

Q: The  x component of vector   is 9 units, and its  y component is 5.5 units. The magnitude of   is…

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Q: The magnitude of a vector: Can be positive or negative. Must always be negative. Must always be…

A: The magnitude of a vector is defined by the numeric value of that vector.

Q: y | 10.00 m A 70 30.Co -10° В 8.00 m 15° D 5.00 m 9.00 m

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Q: calculate the x component and the y component of the vector with magnitude 24 degrees and direction…

A: We are assuming that the given angle is the angle made by the vector above the positive x-axis and…

Q: What is the y-component of a vector with a magnitude of 30 that makes an angle of 25 degrees with…

A: Solution: Let R be the magnitude of the vector, H be the x-component, V be the y-component, and θ be…

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: 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: Explain the physical significance of the Gradient and Divergence of a vector?

A: Physical significance of Gradient of a vector :  This is rate of change of function at a point.…

Q: What is the x component, A, of the vector A shown in the graph below? The magnitude of the vector is…

A: Given data:  Magnitude of vector (A) = 1.75 Angle (θ) = 120° Required: The x component of the vector…

Q: The y-component of a vector having length 150 m at an angle of 30° with x-axis will be equal to..

A: vector, R  = 150 m  Angle, A = 30 degree from + X axis

Q: A vector has an x-component of −25.5 units  and a y-component of 47.0 units. Find the magnitude and…

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Q: What is difference between a polar vector and an axial vector?

A: If a physical quantity have both magnitude and direction, then it is called vector.

Q: Calculate the resultant of a horizontal vector with the magnitude of 4 units and a vertical vector…

A: OB is the horizontal vector, BA is the vertical vector and the resultant is OA.

Q: The magnitude of vector A is 23.0 units and points in the direction 300° counterclockwise from the…

A: Magnitude of vector A→ = 23 units θ = 300o counterclockwise from + x axis

Q: A vector has a horizontal component of -14 and vertical component of 22, what is the magnitude of…

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Q: Two vectors are unequal if they have the ...... Different magnitude and direction Different…

A: Two vectors are unequal if they have different magnitude and different direction. Option (A) is…

Q: Explain this statement: “The magnitude of a vector is a scalar.

A: Solution: A scalar quantity has a magnitude but it does not specify the direction whereas a vector…

Q: Vector is quantity with both magnitude and direction. magnitude . direction.

A: Given, Vector is quantity with  (A) Both magnitude and direction (B) Magnitude (C) direction

Q: What are the horizontal and vertical components of a vector 15m, 30° south of east? * 13m and 8m -8m…

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Q: What are the horizontal and vertical compo- nents of a 10-unit vector that is oriented 37° above the…

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Q: Vector A has a magnitude of 10 units and makes an angle of 30 degrees counterclockwise from the…

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Q: If a 4i+ 2j -k and b = 2i-6j-3k, then calculate a vector that is perpendicular to both a and b.

A: The cross product of two vectors gives out a vector. This resultant vector is perpendicular to both…

Q: The x component of vector A is 6.0 units, and its y component is 7.5 units. The magnitude of A is…

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Q: A vector has a magnitude of 25 and points in a direction that is 35° above the positive x axis.

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Q: Question 5 A vector has an x-component of 4 m and makes an angle of 22° counterclockwise from the…

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Q: What are the horizontal and vertical components of a vector 15m, 30° south of east

A: Given: The magnitude of the vector is 15 m. The direction of the vector is 30o south of east.

Q: The  x component of vector   is -8.0 units, and its  y component is 3.2 units. The magnitude of   is…

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Q: A vector has a horizontal component of -26 and vertical component of 10, what is the magnitude of…

A: Given data:  Horizontal component (Fx) = -26 Vertical component (Fy) = 10 Required: The magnitude of…

Q: Give a specific example of a vector, stating its magnitude, units, and direction.

A: Physical quantities which can be defined completely by its magnitude, unit, and direction is known…

Q: How would you describe what happens to a vector when you multiply it by a scalar?

A: When a vector is multiplied by a scalar, the vector changes its magnitude. If the vector is…

Q: A vector has a magnitude of 12. When its tail is at the origin it lies between the positive x axis…

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Q: Consider vector v from (0, 0) to (a, b):v = ai + bj.The horizontal component of v is_______ . The…

A: The horizontal component of v is a

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: The vector above is given in x- and y-component form as Vx = -7 m/s, Vy =4 m/s' What is the angle 0?…

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Q: The components of vector  are  = -3.5 and  = -4.7, and the components of vector  are  = -6 and  =…

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Q: The  x component of vector   is 8.7 units, and its  y component is -6.5 units. The magnitude of   is…

A: The magnitude of vector is ,

Q: The magnitude of a force vector F is 83.2 newtons (N). The x component of this vector is directed…

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Q: What will be the result when we divide the x-axis component and the y-axis component of the vector…

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Q: The method of vector addition is called algebraic addition. True or false?

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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.