Jse the definition of the vector product and the definitions of the unit vectors î, j, and k to prove the equations below. You may assume that the x-axis points to the right, che y-axis up, and the z-axis horizontally toward you (not away from you). This choice is said to make the coordinate system a right-handed system. (Submit a file with a maximum size of 1 MB.) î x î - j × ĵ = k ×k = 0 î xĵ = -ĵ x î = ĵ × k = - xj = î x î = -Î x k = ĵ

Q: If ā= 3x - 5y and b = -2x+9ỹ, write the vector 5ã-85 in terms of x and y

A: Given vector are a→=3x→-5y→   and b→=-2x→+9y→. We have to find the vector 5a→-8b→. Now, 5a→=53x→-5y→…

Q: The vector h = 16 -25 can be written as a linear combination of h 3 -5 -12 and 2 B -3. Find the…

A:

Q: Vectors are used in computer graphics to calculațte the lengths of shadows over flat surfaces. The…

A: Given that Vector (a) =(1. 3 ,8.9) We have to find length of shadows

Q: Solve for the vector x in terms of the vector a. (If needed, use BOLD vector form on calcPad Vector…

A: The given equation is:x-14a=0 To Do:We have to solve vector x in terms of vector a.

Q: The initial and terminal points of AB are given below. Write the vector in component form. A (-5, 2)…

A:

Q: Draw a picture of the following vectors, then calculate them algebraically. Make sure you label the…

A: Given: The three vectors:Vector Vector Vector Aim: Draw a picture of the vectors and  on a…

Q: Preform the indicated Operations for the given vectors. v= w= s= r= s+w

A: for the addition of the two vectors we add the respective components of given vectors. i.e,…

Q: Preform the indicated Operations for the given vectors. v= w= s= r= 3(v+2w)-s

A:

Q: Given the vectors a and b. 6. Sketch the vector a + 16

A: According to  parallelogram law of vector addition, If two vectors are represented by two adjacent…

Q: Use the figure to sketch a graph of the specified vector. 2u+3v

A: