The norm of the vector product a × b could represent the area of what?

Q: If someone tries to smuggle gold bars by filling their backpack, whose dimensions are 60.0 cm x 28.0…

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Q: Vector a has magnitude 3√2, vector b has magnitude 5 and the angle between a and b is 135°. What is…

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Q: Consider a sphere of radius R, surface area A and volume V. Suppose the radius is doubled to 2R. How…

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Q: A vector has components Ax = 23 m and Ay = 18 m. What is the magnitude of vector ?

A: The components of a vector are : Ax = 23 m Ay = 18 m

Q: A surveyor is determining the width of a river. He places a pole on the other side of the river that…

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Q: Two vectors with lengths 1.00 m and 2.00 m have an angle, q = 30.0°, between them. What is the…

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Q: A vector is 26.8 m long and makes an angle of 60.0° counterclockwise from the y-axis (on the side of…

A: length of vector = A =26.8 m angle =600 counter clock wise with y axis. in second quadrant angle is…

Q: 15. Go The corners of a square lie on a circle of diameter D = 0.35 m. Each side of the square has a…

A: The corners of the square lie in the circle. This means square is inscribed in a circle. The…

Q: Find the change in area of a rectangle if the error in length L is 3% and error in width W is -1% 2%…

A: percentage error in area of rectangle, ∆AA*100=∆LL*100+∆WW*100

Q: Vector m=4.00 points eastward and vector n=3.00m southward. The resultant vector m+n is given by?

A: Given data:  M = 4.00 m, towards East  N = 3.00 m, towards South Required: Resultant vector M+N

Q: A vector has components Ax = 12 m and Ay = 5.0 m. What is the magnitude of vector ?

A: Given the x and y components of vector A.Ax = 12 m and Ay = 5 m

Q: An architect is redesigning a rectangular room on the blueprints of the house. He decides to double…

A: Given data:  New width (b1) = 2b New length (l1) = 1.89 l New height (h1) = 1.20 h Required: Factor…

Q: Vector A is 30 N and Vector B is 40 N, What angle does Vector A make with Vector B when the…

A: The angle does the vector A make with vector B is, R2=A2+B2+2ABcosθR2-A2-B2=2ABcosθcosθ=R2-A2-B22AB

Q: magnitude of the resultant is:

A: Let, there are two vector A and B. The magnitude of these two vectors given as, In vector algebra,…

Q: A vector has a component of 6.9 m in the +x direction, a component of 2.8 m in the +y direction, and…

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Q: Let's Appraise The magnitude of a vector F is 10 units and the direction of the vector is 60°…

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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: An architect is redesigning a rectangular room on the blueprints of the house. He decides to double…

A: Let the length of the rectangle be L breadth B and height H. Therefore, volume of the rectangle:…

Q: Note that in science and engineering area is considered a vector quantity. Its magnitude is defined…

A: Area is a vector quantity.Its magnitude is length time width.

Q: What is the total surface area of a right circular cylinder with a radius of 2.3 cm and a height of…

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Q: "If both x and y components of a vector A are positive, then the range of angle will be"

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Q: Add the following component vectors and determine the resultant. (You might want to draw them).…

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Q: When vector à is added to vector B the result is the vector 3î – 4ĵ + 2k. When the vector 2à is…

A: When vector A is added to vector B, the result of the addition of these vectors is given as,…

Q: Vector A has a magnitude of 6 units, vector B has a magnitude of 7 units, A dot B has a value of 14.…

A: Given data The magnitude of vector A is given as A=6 units. The magnitude of the vector B is given…

Q: By what factor does the volume of a cube increase if the lengths of the edges are doubled?

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Q: a vector A (-4i-2j)and  a vector B (-2i-4j) the vector A makes an angle with the positive x axis…

A: The angle made by point A (x, y)  with positive x –axis , when it lies in different quadrant of x-y…

Q: The horizontal and vertical components of a vector are 23.6 N and 34.8 N, respectively. What i: 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: How many significant figures are in the following number: 2.5x10(power of 2)

A: Given data:  A number 2.5×102 Required: The number of significant figures

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: he, the dimensions of D is

A: here v is velocity . dimension of velocity is LT-1. we can add only dimensionally homogeneous…

Q: If a triangle has a hypotenuse of 121.3 meters, if the triangle has a height of 61 meters. What is…

A: Hypotenuse is H=121.3 m Height is h=61 m

Q: A ladder 7.95 m long leans against the side of a building. If the ladder is inclined at an angle of…

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Q: A vector is 27.2 m long and makes an angle of 50.0 degree counterclockwise from the y axis (on the…

A: Introduction: Vector quantities are the quantity for its description both direction as well as…

Q: The dot product of vectors A and B is 6 sq. meters. If B = 3.5i + 5.1j – 3k meters and the angle…

A: Given data: Dot product of vector A and B = 6 m2 Vector B = 3.5i + 5.1j – 3k Angle between vector A…

Q: he ball at point a then runs 6 m eastward point d. Then finally runs 6.5 m, 51° south east back to…

A: Shortest length of path between initial and final point is called displacement Length of actual path…

Q: What is the square root of 1023?

A: The given number is x=1023 The square root of this number is written as x=1023 Or in another form,…

Q: You can multiply vectors three different ways. Match the following: Multiply two vectors and get a…

A: given :- (a) Multiply two vectors and get a scalar (regular number) (b) Multiply two vectors and…

Q: Two vectors vector A and vector B have precisely equal magnitudes. In order for the magnitude of…

A: Magnitude of A + B is 110 times the magnitude of A – B. Therefore,

Q: If the x-component of a vector is 3m and the y-component of the same vector is 4m, then what is the…

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Q: A vector is 27.2 m long and makes an angle of 60.0 degree counterclockwise from the y axis (on the…

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Q: The horizontal and vertical components of a vector are 23.6 N and 34.8 N, respectively. What is the…

A: Given data- Horizontal component=23.6 N vertical component=34.8 N

Q: Using the laws of logarithms and exponentials solve the voltag battery 9*+1 – 36 3* + 27 = 0 log,(2x…

A: c) 3) We know that We have given the voltage  in a charging capacitance as a function of time  as…

Scalars and Vectors

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