3)Find the angle between the plane 2x-6z + 5= 0 and the line passing through 2...
3)Find the angle between the plane 2x-6z + 5= 0 and the line passing through 2 points (1, 1, 1) and (-2, 1, 4). Hint, the angle between a line and a plane is the angle between direction vector of the line and the normal vector of the plane.
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3)Find the angle between the plane 2x-6z + 5= 0 and the line
passing through 2...
Find the equation of the line passing through (5,− 3) and perpendicular to the line 2x...
Find the equation of the line passing through (5,− 3) and perpendicular to the line 2x + 3y = 7 . Find the equation of the line passing through (5, 2) and (− 3, 2) . Graph the following functions and find the x − intercept, y - intercept, slope in each case. 7x − 4y = 10 2y − x − 1 = 0
Let L1 be the line passing through thr points Q1=(-4,-5,-2) and Q2=(0,-7,2). Find a value of...
Let L1 be the line passing through thr points Q1=(-4,-5,-2)
and Q2=(0,-7,2). Find a value of k so the line L2 passing through
the point P1=(7,-9,k) with direction vector d=[-1,-1,0]^t
intersects with L1
K=??
Question 2 [10 points) Let Ly be the line passing through the points Or.-5. 2) and Q-0-72) Find a value of k so the line passing through the point Ps-P;(7.-9. k) with direction vector i/-/-1,-1.0" intersects with L ko
Q4 (8 points) (a) Find parametric equations of the line passing through the point A(5,-2,9) and...
Q4 (8 points) (a) Find parametric equations of the line passing through the point A(5,-2,9) and perpendicular to the plane 3.x - y-6z+ 2 = 0. (b) Find two planes that intersect along the line.
Let L1 be the line passing through the points Q1(−2, −5, −3) and Q2(2, −3, −1)...
Let L1 be the line passing through the points Q1(−2, −5, −3) and Q2(2, −3, −1) and let L2 be the line passing through the point P1(11, 1, 4) with direction vector d=[3, 1, 2]T. Determine whether L1 and L2 intersect. If so, find the point of intersection Q.
Question 1 (10 points] Let L be the line passing through the point P=(4, -2,5) with...
Question 1 (10 points] Let L be the line passing through the point P=(4, -2,5) with direction vector d=[5, 2, 2]', and let T be the plane defined by –2x-3y=z=-5. Find the point Q where L and T intersect. Q=(0,0,0)
Let L1 be the line passing through the point P 2, 2,-1) with direction vector a=[-1,...
Let L1 be the line passing through the point P 2, 2,-1) with direction vector a=[-1, 1,-2]T, and let L2 be the line passing through the point P2-(-5, -5,-3) with the same direction vector. Find the shortest distance d between these two lines, and find a point Q1 on L1 and a point Q2 on L2 so that dQ1Q2) d. Use the square root symbol' where needed to give an exact value for your answer. d 0 Q1-(0, 0, 0)...
Question 7 (10 points] Let Ly be the line passing through the points Q1-(3,-1,-4) and Q2=(5,-3,-2)...
Question 7 (10 points] Let Ly be the line passing through the points Q1-(3,-1,-4) and Q2=(5,-3,-2) and let La be the line passing through the point P4-(12,-4, 3) with direction vector a-(-6, -6, -21". Determine whether Ly and L2 intersect. If so, find the point of intersection Q. The lines intersect at the following point Q: Q=(0,0,0)
1 point) Suppose that the line l is represented by r(t)- (12+ 2t, 23 +6t, 8 + 2t) and the plane P is represented by 2x + 4y + 52-23. 1. Find the intersection of the line & and the plane P. Write...
1 point) Suppose that the line l is represented by r(t)- (12+ 2t, 23 +6t, 8 + 2t) and the plane P is represented by 2x + 4y + 52-23. 1. Find the intersection of the line & and the plane P. Write your answer as a point (a, b, c) where a, b, and c are numbers. Answer 2. Find the cosine of the angle 0 between the line l and the normal vector of the plane P Answer:...
Let L1 be the line passing through the points Q1=(-5, 1,-4) and Q2=(1,-8,-1) and let L2 be the line passing through the point P1=(-10, 16,-5)
Let L1 be the line passing through the points Q1=(-5, 1,-4) and Q2=(1,-8,-1) and let L2 be the line passing through the point P1=(-10, 16,-5) with direction vector d=[-1,-1,-1]T. Determine whether L1 and L2 intersect. If so, find the point of intersection Q
Let L be the line passing through the point P(-4, -1,5) with direction vector d=[-3, 3,...
Let L be the line passing through the point P(-4, -1,5) with direction vector d=[-3, 3, 2]T, and let T be the plane defined by 3x+2y-5z =-9. Find the point Q where L and T intersect. Q=(0, 0, 0)
Let L1 be the line passing through thr points Q1=(-4,-5,-2)
and Q2=(0,-7,2). Find a value of k so the line L2 passing through
the point P1=(7,-9,k) with direction vector d=[-1,-1,0]^t
intersects with L1
K=??
Question 2 [10 points) Let Ly be the line passing through the points Or.-5. 2) and Q-0-72) Find a value of k so the line passing through the point Ps-P;(7.-9. k) with direction vector i/-/-1,-1.0" intersects with L ko
Q4 (8 points) (a) Find parametric equations of the line passing through the point A(5,-2,9) and perpendicular to the plane 3.x - y-6z+ 2 = 0. (b) Find two planes that intersect along the line.
Question 1 (10 points] Let L be the line passing through the point P=(4, -2,5) with direction vector d=[5, 2, 2]', and let T be the plane defined by –2x-3y=z=-5. Find the point Q where L and T intersect. Q=(0,0,0)
Let L1 be the line passing through the point P 2, 2,-1) with direction vector a=[-1, 1,-2]T, and let L2 be the line passing through the point P2-(-5, -5,-3) with the same direction vector. Find the shortest distance d between these two lines, and find a point Q1 on L1 and a point Q2 on L2 so that dQ1Q2) d. Use the square root symbol' where needed to give an exact value for your answer. d 0 Q1-(0, 0, 0)...
Question 7 (10 points] Let Ly be the line passing through the points Q1-(3,-1,-4) and Q2=(5,-3,-2) and let La be the line passing through the point P4-(12,-4, 3) with direction vector a-(-6, -6, -21". Determine whether Ly and L2 intersect. If so, find the point of intersection Q. The lines intersect at the following point Q: Q=(0,0,0)
1 point) Suppose that the line l is represented by r(t)- (12+ 2t, 23 +6t, 8 + 2t) and the plane P is represented by 2x + 4y + 52-23. 1. Find the intersection of the line & and the plane P. Write your answer as a point (a, b, c) where a, b, and c are numbers. Answer 2. Find the cosine of the angle 0 between the line l and the normal vector of the plane P Answer:...
Let L1 be the line passing through the points Q1=(-5, 1,-4) and Q2=(1,-8,-1) and let L2 be the line passing through the point P1=(-10, 16,-5) with direction vector d=[-1,-1,-1]T. Determine whether L1 and L2 intersect. If so, find the point of intersection Q
Let L be the line passing through the point P(-4, -1,5) with direction vector d=[-3, 3, 2]T, and let T be the plane defined by 3x+2y-5z =-9. Find the point Q where L and T intersect. Q=(0, 0, 0)
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