(a) Find symmetric equations for the line that passes through the point (4, -2, 6) and...
(a) Find symmetric equations for the line that passes through the point (2, -2, 8) and is parallel to the vector (-1, 3,-4). -(x + 2) = 3(y-2) = -4(2 + 8). Ox+2-472.28 2-8 -4 -(x - 2) = 3(y + 2) = -4(2-8). *+2.1;2-28 (b) Find the points in which the required line in part (a) intersects the coordinate planes. point of intersection with xy-plane point of intersection with yz-plane point of intersection with xz plane
(1 pt) Consider the sphere (x - 4)2 + (y - 3)2 + (z - 5)2 25 (a) Does the sphere intersect each of the following planes at zero points, at one point, at two points, in a line, or in a circle? The sphere intersects the xy-plane ? The sphere intersects the xz-plane ? The sphere intersects the yz-plane ? (b) Does the sphere intersect each of the following coordinate axes at zero points, at one point, at two...
3.847.69 points | Previous Answers SCac8 12.1.014 Find an equation of the sphere with center (2, -9, 3) and radius 5. 6+02+6-32-5 Use an equation to describe its intersection with each of the coordinate planes. (If the sphere does not intersect with the plane, enter DNE.) intersection with xy-pianer 2)2(y+9)2-16 intersection with x-plan(2( 3)2--56x intersection with yz-plane | (z 3). (y + 9 )2-21 Need Help?Read it Talk to a Tutor Submit Answer Save Progress intersection with xz-plane | (x-2...
4. [3/8 Points) DETAILS PREVIOUS ANSWERS SCALCCC4 9.5.013. Consider the line that passes through the point and is parallel to the given vector. (4, -3,6) < 1, 2, -3> (a) Find symmetric equations for the line. 2-6 -(x-4)= 2 3 y +3 (b) Find the points in which the line intersects the coordinate planes. (5 X IX 0) (0,9 X -6 (4 x 0, 4 X) 1 Consider the line that passes through the point and is perpendicular to the...
a) Find an equation of the sphere with center (3, −6, 4) and radius 5. b) Use an equation to describe its intersection with each of the coordinate planes. (If the sphere does not intersect with the plane, enter DNE.) intersection with xy-plane intersection with xz-plane intersection with yz-plane
Find sets of parametric equations and symmetric equations of the line that passes through the two points (if possible). (For each line, write the direction numbers as integers.) (5. -3, -2). (a) parametric equations (Enter your answers as a comma-separated list.) (b) symmetric equations XY 2+2 17 9 5-x 17 11 x-5 y - 3 15 11 2+2 9 5- X 17 Y = 2+2 9 Find f and fu, and evaluate each at the given point. y! f(x, y)...
Find an equation of the line that passes through the point (4, 2) and is perpendicular to the line 2x + 5y 6 = 0 Need Help? Talk to a Tutor Read It Find an equation of the line that passes through the point (4, 2) and is perpendicular to the line 2x + 5y 6 = 0 Need Help? Talk to a Tutor Read It
Q4. (5 points). Find the equation of the plane that passes through the line of intersection of the two planes x - 2y = 3 and y- z = 0 and parallel to the line x = y - 1 = 2+1 Q5. (4 points). Find the distance from the point A(1,2,3) and the line 2+1 y-1 2 Q6. (4 points). Give the name and sketch the surface whose equation is given by x2 + 2y2 – 12y – z...
a = 5, b = 4, c = 6 Find the symmetric equation of the line that passes through the point (a+b+c,a+b+c,a+b+c) and the point of intersection between the lines X = -a +at,y= -b+bt, z=(a+b+c+1)t and x= a +as, y=b+bs,z= -s+a+b+c
Find a formula for the distance from the point P{x,y,z) to each of the following planes. a. Find the distance from P(x,y,z) to the xy-plane. b. Find the distance from P(x,y,z) to the yz-plane. c. Find the distance from P(x,y,z) to the xz-plane. a. Choose the correct formula for the distance from the point P(x,y,z) to the xy-plane. O A. Iz OB. Mx2 + y2 OC. Vz OD. x² + y² + 2? b. Choose the correct formula for the...