Question
A) south
B) northwest
C) up
D) down
6. Find the area of the triangle with vertices:
Q(-2,-4,0), R(-3,-1,1), S(-4,-3,3).
7. Find the area of the parallelogram with vertices:
P(0,0,0), Q(-1,-5,4), R(-1,-3,3), S(-2,-8,7).
8. Find the distance the point P(2,3,-5) is to the line through the two points
Q(3,1,-1), and R(4,-1,-3).
9. Find the volume of the parallelopiped with adjacent edges PQ, PR, PS where
P(3, 3, 5), Q(5, 6, 8), R(2, 2, 4), S(9, 1, 7).
1.Find the cross product mathbf b=l angle 1,5,3 rangle Enter your answer so that the first non-zero coordinate of the first vector is positive. 6. Find the area of the triangle with vertices: Q(-2,-4,0), R(-3,-1,1), S(-4,-3,3). 7. Find the area of the parallelogram with vertices: P(0,0,0), Q(-1,-5,4), R(-1,-3,3), S(-2,-8,7). 8. Find the distance the point P(2,3,-5) is to the line through the two points Q(3,1,-1), and R(4,-1,-3). 9. Find the volume of the parallelopiped with adjacent edges PQ, PR, PS where P(3, 3, 5), Q(5, 6, 8), R(2, 2, 4), S(9, 1, 7). mathbf a= langle -5,-2,-4 rangle and mathbf u times math bf w 5. Find two unit vectors orthogonal to math bf u times mathbf z point in or out of the page? (in/out) Compute math bf u times mathbf v point in or out of the page? (in/out) Does mathbf z Does math bf w mathbf v mathbf u Large textbf X , as four vectors starting from the center and pointing outward. Label the four vectors starting from the top left and proceeding clockwise as left| mathbf{u} times mathbf{v} right| = 4. Think of the letter mathbf{u} times mathbf{v} points: A) south B) northwest C) up D) down The magnitude left| mathbf{v} right = 5 points northeast. The crossproduct mathbf{v} with left mathbf{u} right| = 9 points north and a vector bf{u} with mathbf d=-3 mathbf i-1 mathbf i -1 mathbf j-1 mathbf k. 3.You are looking down at a map. A vector mathbf c=5 mathbf i=2 math bf j+2 mathbf k and mathbf c times mathbf d where mathbf b= angle -5,3,3 rangle. Find the cross product mathbf a =langle -5,3,-5 rangle and mathbf a times mathbf b where mathbf b= langle 0,0,0 rangle 2.Find the cross product mathbf a=langle -4,-3,4 rangle and mathbf a times mathbf b where
Explanation / Answer
1. 0
2. 24i -10j
3. 4i-j -11k
3.down
