Form (a) the coefficient matrix and (b) the augmented matrix for the system of linear equations. \left{\begin{array}{c} 7 x-5 y=11 x-y=-5 \end{array}\

Find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at ${\displaystyle (1,3,0),(-2,0,2),\text{and}(-1,3,-1)}$.

Find the vectors T, N, and B at the given point.
$r(t)=<t^2,\frac{2}{3}{t}^3,t>$ and point $<4,-\frac{16}{3},-2>$

Find a nonzero vector orthogonal to the plane through the points P, Q, and R. and area of the triangle PQR
Consider the points below
P(1,0,1) , Q(-2,1,4) , R(7,2,7)
a) Find a nonzero vector orthogonal to the plane through the points P,Q and R
b) Find the area of the triangle PQR

Find direction numbers for the line of intersection of the planes x+y+z=1 and x+z=0

Find a unit vector that has the same direction as the given vector. 8i-j+4k

Use the figure shawn 10 identify each a. vertical sngles b. adjacent angles c. linear pairs d. supplementary angles e. complementary angles

Find the angle between the vectors ${\displaystyle <1,3>\text{and}<-2,4>}$