1. Determine whether the following planes are parallel,
orthogonal, or neither. If they are neither parallel nor
orthogonal, find the angle of intersection.
-2x – 31y + 5z + 3 = 0
-3x + y + 5z -4 = 0
2. Find the distance between the point ( 2, -2, -3 )and the
plane .2x – 3y + 4z = 8
There are three vectors in R4 that are linearly independent but
not orthogonal: u = (3, -1, 2, 4), v = (-2, 7, 3, 1), and w = (-3,
2, 4, 11). Let W = span {u, v, w}. In addition, vector b = (2, 1,
5, 4) is not in the span of the vectors. Compute the orthogonal
projection bˆ of b onto the subspace W in two ways: (1) using the
basis {u, v, w} for W, and...
determine the orthogonal bases for subspace of C^3 spanned by
the given set of vectors. make sure that you use the appropriate
inner product of C^3
A=[(1+i,i,2-i),(1+2i,1-i,i)
Determine whether the members of the given set of vectors are
linearly independent. If they are linearly dependent, find a linear
relation among them of the form c1x(1) + c2x(2) + c3x(3) = 0. (Give
c1, c2, and c3 as real numbers. If the vectors are linearly
independent, enter INDEPENDENT.) x(1) = 9 1 0 , x(2) = 0 1 0 , x(3)
= −1 9 0
determine whether the given function is even, odd, or
neither.
Please write a code in MatLab to solve this problem below:
1.f(x) = sin 3x
please only use Matlab to solve this problem
1) Determine the angle between vectors:
U = <2, -3, 4> and V= <-1, 3, -2>
2) determine the distance between line and point
P: -2x+3y-4z =2
L: 3x – 5y+z =1
3) Determine the distance between the line L and the point A
given by
L; (x-1)/2 = (y+2)/5 = (z-3)/4 and A (1, -1,1)
4) Find an equation of the line given by the points A, B and
C.
A (2, -1,0), B (-2,4,-1) and C ( 3,-4,1)...