1. Find the cosine of the angle between vectors u = (-4,0,3,0) and v = (2,-3,0,6);

A: The given vectors are,

A:

A:

A: See the detailed solution below.

A: Given: The vectors u =(-3, 2, 6) and v=(3,2,6) Find : The sine of the angle between the vectors u…

A:

A: Step 1: Step 2: Step 3: Step 4:

A: We can solve as follows

A: Given that The angle between the vectors 6,1,-1 and 1,x,0 is 45°.

A: If we have a vector u=a,b,c, then the unit vector that is in the direction of vector u is the vector…

A: According to the given information, it is required to calculate the dot product and angle between…

A:

A: u=(3,-4,-5)v=(2,-1,2)

A: