Two soccer players are practicing for an upcoming game. One of them runs 10m from point A to point B. She then turns left at 90 degrees and runs 10m until she reaches point C. Then she kicks the ball with a speed of 10 m/s at an upward angle of 30 degrees to her teammate, who is located at point A. Write the initial velocity vector of the ball in component form, explicitly describing the basis vectors you are using.

Q: airplane, flying in a direction 45° north of east and has an airspeed 500 mph. It is jected to a…

A: Please refer to the image below

Q: How do you know what the vector b is?

A:

Q: Find a unit vector in the same direction as v= (28,-21).

A: A unit vector in the direction of (a, b)

Q: Find the magnitude of the vector

A: The given vector is 0,7We know that in a vector a,b the magnitude is a2+b2

Q: How do I teach students to map coordinates on to vectors?

A: I am assuming that our discussion is restricted to 2D geometry. A typical vector will have a…

Q: Parametrize the line that passes through the point (1,2,3) parallel to the vector v = -3i + 7k.

A:

Q: Given the points M[0.1, -0.2, -0. 1), N(-0.2, 0.1, 0.3), and P(0.4, 0, 0.1), find: (a) the vector…

A: This question can be solved using the concept of finding the vector joining two points and dot…

Q: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

Q: Find the vector and parametric equations of the line through the points A = (2,4,7) and B =…

A:

Q: 3. (7-9) A vector has an initial point at (1, –1) and an endpoint at (8, 6). Write the vector in…

A: The given start and endpoints of vector are (1,-1) and (8,6) We know that the magnitude of a vector…

Q: 6. Let a > 0 and let R be the region under the graph of f(x) 9- ax and in the first quadrant. Find a…

A: We will find intersecting point and then draw region bounded by graphs . Then by integration find…

Q: The z-coordinate of the terminal point of the vector v=-5i-19k whose initial point is (-1,-4,-5) is

A:

Q: Find the vector have the same direction as vector a-1-2j+2k and has a magnitude 9. Select one:…

A:

Q: Find the unit vector in the direction of

A: Unit vector in the direction <-2, -5> Unit vector have magnitude 1

Q: Choose the equation(s) which have the following resultant vecto K 1 " Select one or more: C. * a.…

A: Given query is to find the resultant vector.