(1 point) Find the angle of intersection of the plane 3z – (x + 5y) =...
(1 point) Find the angle of intersection of the plane 3x + 3y – 4z = –2 with the plane -5x – 5y – 2z = -4. Answer in radians: and in degrees:
Find a plane containing the point (2,3,−1) and the line of intersection of the planes 2x+y-2z=22 and x+2y+3z=-14 The equation of the plane is
SOLVE THE FOLLOWING SYSTEM OF EQUATIONS BY THE CRAMER'S METHOD 3X+5Y+3Z-12 2X+5Y-2Z-6 3x+6Y+3Z-3 a) X Y b) CHECK YOUR RESULTS. (USE MATRICE FUNCTIONS, PRESS F2. AND THEN PRESS CTRL+SHIFT+ENTER) 3IF Y-SINC) EXPOO. INTEGRATE Y FROM X-0 Tox-1. COMPARE WITH REAL VALUE IF DX-0 a) INT b) INT ,IF DX- 005 REAL VALUE 3) Plot sin x letting maco c/ Prepave hese cuves 4) SOLVE THE FOLLOWING SYSTEM OF EQUATIONS BY INVERSE METHOD 3 X+3Z-13 2X +5 Y-2Z-2 3 X+6Y+2Z-3 Z-...
Find the point of intersection of plane 4x+5y-52-4=0 and the following line: (x-4)/5 = (y+3)/3 = z/3 If they have a point of intersection, enter the x-value of point in the following box. If the line is on the plane, enter ON in the box. If the line is not on the plane, and they are parallel, enter P in the box.
In each case find () the point of intersection of the line and plane, and (ii) the angle between the line and plane: line plane r"(2i +4j-k}# 28 r-I 2 3-г 2x + 3y + z = 11 (c) 4 +K 3 2x+4y-1 0
Find the equation of the plane that passes through the ine of intersection of planes x+z=1 and y+2z=3 and is orthogonal to the plane x+y+z=34256. Express your answer in general form.
Find the equation of the plane through the line of intersection of the planes x-z = 3 and y+3z = 4 and perpendicular to the plane x+y+z = 1.
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:...
Use Lagrange multipliers to find the point on the plane x − 2y + 3z = 6 that is closest to the point (0, 3, 5)
Find a plane containing the point (-7,4,8) and the line of intersection of the planes - 2 + 4y + 2z = 21 and 6x + 7y - 5z = 46