Wector A lies in the XY plane and makes an angel 0 with the positive x-axis. if the y-component of vector A equals 1/5 of its magnitude then angel e is: a. 19.5º O b. 7.1 ° c. 11.5º d. 70.5° e. 82.5°

Q: 1. Consider the vectors A = 2i – 3j – k, B = i+ 4j – 2k. (a) Find the magnitude of A x B using the…

A: A×B: The cross product of two vectors a and b is defined only in three-dimensional space and is…

Q: 5. Two vectors, A and B are added together to form the vector C= A + B. The magnitude of these…

A:

Q: 4. Express the position vector r = xa, + ya, + za, in the spherical co-ordinate system. 5. (a)…

A:

Q: 2. A vector A has a magnitude of 500 N and makes an angle of 70° with the positive x- axis, vector B…

A: A = 500 N @70o with positive x axis B = 400 N @130o with positive x axis C = 300 N @220o with…

Q: 5. Consider two vectors: A which has a magnitude of 28.0 m and points in a direction 15.0° above the…

A:

Q: R=A-B+C+3D = ? D R Which of the following is the coordinate for the resultant vector a. -2, 2 X b.0,…

A: The given vectors can be written in the coordinate form as follows : A = (-2,2) B = (2,1) C =…

Q: 1) Define the unit vector? What is the unit vector of the general vector: A = axî + ayî + a₂k and B…

A:

Q: 1. Consider the vector 34 m in the direction of S25°W. a) Write a vector that is opposite to the…

A: Length of the vector is L = 34 m @ 25 degrees south-west

Q: Problem 4 Consider the 2D vectors A and B. A has a magnitude of 3.5 and a polar angle of 55 degrees,…

A: The x component of A+B, Rx=A cosθ1+B cosθ2=3.5×cos55°+4.5×cos245°=2.00-1.90=0.10   The y component…

Q: What are the x and y−components of vector E?

A: Given that, Angle = β

Q: 1- Three vectors, a = 6î +2ĵ – 4k , b = -3î +4j + 2k , č =6î +73+3k , Find the following: a) За b)…

A:

Q: 1. Given the ff vectors : A = 5 km, East ; B = 8 Km west ; C = 7 km, south ; D = 4 km, north ; E = 9…

A: Given the ff vectors : A = 5 km, East ; B = 8 Km west ; C= 7 km, south ; D = 4 km, north; E = 9 km,…

Q: In a three-dimensional space we have a vector R ( 4ai + 3af + 5ak ). Another vector S has the same Y…

A:

Q: Vector A is 30° below the x-axis. Vector B is 35° to the right of the negative y-axis.  You will be…

A:

Q: Find the resultant vector using graphical methods and component method. A= 30 cm 30° N of E B= 20…

A:

Q: Vector A +y L. +x a A vector is on an x,y coordinate axis. Vector A is shown. Which of the following…

A:

Q: stopping

A: Given: Distance covered in the straight line = 100 m

Q: Problem 1: Object 1 is located at position (2, 3)?. Object 2 is located at position (8, 11)?. a)…

A: Given: object 1 is located at (2,3)  Object 2 is located at (8,11)  To find the displacement vector…

Q: Problem 2: Consider the two vectors, A = 13.5x + 35.5y B = 6.9x - 15.5y Part (a) What is the…

A:

Q: In a three-dimensional space we have a vector R =( 4at+ 3aj+ 5ak). Another vector S has the same Y…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: 1) Define the unit vector? What is the unit vector of the general vector: Ã = azî + a,ĵ + a,k and B…

A:

Q: A vector is directed at an angle 0 above the +r axis, pointing into the first quadrant. Part A If…

A: Draw the free-body diagram of the forces.

Q: (II) Vector V, is 6.6 units long and points along the nega- tive x axis. Vector V, is 8.5 units long…

A:

Q: der a cube whose edges are each of unit length, One corner coincides with the origin of an xyz…

A:

Q: Calculate the vector a x b when a = 2i +j -k and b = 3i - 6j + 2k %3D

A:

Q: 2. Two vectors A and B with the magnitude 750 N and 900 N respectively, which create some angles…

A:

Q: = xi + yj + zk , projection of this vector is in xy plane is given by p, angle between R & p is 120'…

A: Given

Q: Determine the missing vector H, given the vectors and resultant. Use polygon method with scale 1cm:…

A: Given: C = 12 kN, 23 N of W; E = 20 kN, E 75 N; R = 16 kN, 10 E of N

Q: Given the vectors A= 2.00î + 6.00j and B 13.00i – 2.00j, (a) draw the vector sum C = A + B and the…

A: Given the vectors A= 2.00 + 6.00j and B =3.00 i - 2.00j,   (a) draw the vector sum C = A + B and…

Q: he horizontal vector A has magnitude A = 2.2 and its direction is 0 = 35° east of north*. (For your…

A:

Q: 1. Given the vector 4î− 2ĵ+ 5k̂ a. Write this vector in ordered pair notation b. Create a unit…

A: Given the vector 4î− 2ĵ+ 5k̂

Q: If direction angles are B 96° and y 37°, then get the unit vector. %3D û = ( i +

A: Given :             β = 96°γ = 37°

Q: 1. :.. get the sum of unit vector of R=A+B R = Ã+ B R = Ã - B %3D and the difference of R=A- B A=…

A:

Q: R = Direction of R = Vector C Vector F 50 Vector Z Zx Z₁ = Vector R Rx Ry= test. o relative to the…

A:

Q: Ex : If vector A = 10 and vector B = 12 and the angle between them is 70. What is the magnitude of…

A: Given : A = 10 B = 12 θ = 70°

Q: 37. Go The components of vector A are A, and A, (both positive), and the angle that it makes with…

A:

Q: Draw the vector: 50 N, 30o , North of East

A:

Q: Find the angle between vector a and b if a =i+ 3j + 2k and b = 2i-6j-3k %3D

A:

Q: 1. A vector has an x component of -25.0 units and a y component of 40.0 units. Find the following:…

A: Given: X component = - 25 units  Y component = 40 unit

Q: 3. This one is tougher! Consider y' the vector A in the figure to the right, making an angle 0 with…

A: The length of vector A’ is computed as follows.

Q: (II) Suppose a vector V makes an angle ø with respect to the y axis. What could be the x and y…

A: It is given that a vector V makes an angle with respect to the y axis.

Q: 5. Two vectors, A and B are added together to form the vector C = A + B. The magnitude of these…

A: find the orientations of the vectors A and B with respect to the  x and y-axis. given,

Q: [20] A particle moves from a point in the ry plane having Cartesian coordinates (-3.00, -5.00) m to…

A:

Q: 3. What are the horizontal and vertical components of the following vector displacetnents? a) 2m at…

A:

Q: Vector A has counterclockwise from the +y-axis. y-component A, = +12.0 m. A makes an angle of 42.0°…

A: (A) Given data The y-component of the vector is Ay = 12 m The angle made counter-clockwise from the…

Density of Solids

The density of a substance refers to how much matter is present in a given amount of space. It is expressed as the ratio of the mass of the substance to its volume.