oTTS Define Vector quantity and Scalar quantity. Give three examples for each. (5 Points) If A...
Longer Problems. (5 points each) Show all work.Use 3 sig figs. Box answers, Neatness. 1.Vector A has a magnitude of 6.0 m and points 30° north of east. Vector B has a magnitude of 4.0 m and Find the resultant vectors R = A + B and R-A-B (magnitude and direction) using both the graphical method and the component method. Make sure to state your scale factor on the graphical method!!! Compare your results with a percent error using the...
Describe a vector and give two examples? Describe a scalar and give two examples? Suppose that you drop the ball from a 50.0 m high tower. Describe the motion of the ball and draw the diagram with known quantities! How long will it take to reach the ground? What will be the velocity when it reaches the ground? Suppose that you kick the ball horizontally with the velocity 12m/s from the same tower. Describe the motion of the ball and...
PHYS 221-02:FUND OF PHYSICS I-S-Fall 2019 PHYS-221-62-4196 - Quie: Scalar Multiplication and Vector Subtraction Quit Scalar Multiplication and Vector Subtraction Quiz: Scalar Multiplication and Vector Subtraction Vector A has an I component of -43.2 N and a y component of -13.4 N. Vector B has an z component of -70.6 N and a y component of 68.0 N. a. What is the component of vector B - A? O27.4 N 0-114 N O-54.6 N 0-27.4N 0-24.8N 0-57.2 N b. What...
(d) For Figure 3(right), a × b = 5. Changing a vector equation to scalar equations. (5 pts) (a) Draw three mutually orthogonal unit vectors p,q,f. (b) Use a vector operation (e.g., +, -, , x) to transform the following vector equation into one scalar equation. Then solve the scalar equation for x. (2x-4p = 0 (c) Show every vector operation (e.g., +, -,, x) that transforms the following vector equation into three scalar equations. Then solve the scalar equations...
3. Write a function called sort3 that takes a 3-element vector as its sole arguments. It uses if-statements, possibly nested, to return the three elements of the vector as three scalar output-arguments in nondecreasino-roer , i.e., the first output argument equals the smallest element of the input vector and the last output argument equals the largest element. NOTE: Your function may NOT use any built-in functions, e.g., sort, min, max, median, etc. (5 points) (bonus question). Write a function called...
For the vector space of three dimensional vectors answer a)define the vector space using proper notation. b)write down the standard basis of this vector space. c)write down any nonstandard basis of this vector space. d)give specific examples of subspaces with dimensions 0, 1, 2, 3 and explain geometrically what they represent.
(10 points) The work done by a force is the scalar product of the force and displacement vectors, i.e W F x and the power is given by the dot product between the force and the velocity vector, i.e. P F.V . For a force vector, F 2x i+10y j- (x+5y) k and a displacement vector, x=t i+t j+2t k, calculate the work done by the force and the power required. Based on your answer, what can you say about...
1. A force vector has a magnitude of 575 newtons and points at an angle of 36 degree below the positive x axis. What are the x scalar component and y scalar component of the vector 2. Vector A -> points along the +y axis and has a magnitude of 100.0 units. Vector B-> points at an angle of 60.0 degree above the +x axis and has a magnitude of 200.0 units. Vector C-> points along the +x axis and...
5. Let F R. Give at least three examples of vector spaces over F, whose dimension is 9.
1. Find the scalar component of A in the direction of B and find the angle between the two vectors where: A = (-ỉ+] - 4k)N B = (-i + 10j - 6k)mm 2. Find a unit normal vector to a triangle who's vertices are located at points: Point A: (12, 5, 10) mm Point B: (2,4,-2) mm Point C: (-22, 5, -10) mm