Vectors
cross and dot product
Lines
Planes
Misc.
100
Vector PQ
What is <-1, -10, 1>
100
Dot product of PQ and PR
What is 61
100
The parametric equations of the line through points P and R
What is x=3-8t, y=6-5t, z=3t-1 or x = -5 - 8t, y = 1-5t, z=2+3t
100
THe plane through points P, Q and R
What is 5x+y+15z-6=0
100
Vectors PQ and PR are adjacent sides of a parallelogram. The area of the parallelogram is
What is square root 6275 or 5(square root 251)
200
The magnitude of vector PR
What is square root 98
200
Cross product of PR and QR
What is -25i-5j-75k or 5i+j+15k
200
The parametric equations for the line through point Q and parallel to 4i-6j+k
What is x=2+4t, y=-4-6t, z=t
200
Are planes 4x+y+z=6 and -8x-2y+2z=8 parallel?
What is no
200
The angle between vectors PQ and QR
What is 117.37 degrees
300
Vector QR and <14,-10,___> are parallel
What is -4
300
2 vectors are orthogonal if
What is their dot product is 0
300
True/ False: The lines containing PQ and QR are parallel
What is False
300
What is the measure of the angle between planes 4x+y+z=3 and -x+5y-z=-1
What is 90 degrees
300
The equation for the plane passing through points P and R that is perpendicular to the plane 4x+y-z=8
What is x+2y+6z-9=0
400
3PR + 2PQ
What is <-26,-35,11>
400
Vector QR is orthogonal to <3,2,___>
What is 5.5
400
The line through point R and parallel to x=6-t, y=5+2t, z=10t
What is x=-5-t, y=1+2t, z=2+10t
400
The equation of the plane through point (5, 2, 7) and parallel to the yz plane
What is x = 5
400
How do you determine the coordinates of points on the plane 5x+2y-z=6
What is choose numbers for 2 of the variables and solve for the third.
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