Find the line through (3, 1,-2) that intersects and is perpendicular to the line x =-1...
Find the line through (9, 1, −6) that intersects and is perpendicular to the line x = −1 + t, y = −3 + t, z = −1 + t. (HINT: If (x0, y0, z0) is the point of intersection, find its coordinates. Enter your answers as a comma-separated list of equations.)
please answer both
(12(8 pts) Find parametric equations of the line through the point (2, -1,3) and perpendicular to the line with parametric equations 1-t,y 4- 2t and 3+ t and perpendicular to the line with parametric equations 3+t,y 2-t and z 3+2t. (13)(8 pts) Find the unit tangent vector (T(t) for the vector function r(t) - costi+3t j+ 2sin 2t k at the point where t 0
(12(8 pts) Find parametric equations of the line through the point (2,...
Find the equation for the plane through Po(-4.1. - 3) perpendicular to the following line. x= - 4 +t, y = 1-2t, z = - 4t, -00 <t<00 The equation of the plane is 2
-13 POINTS MY NOT - 10t. The (x(1), y(t)) graph intersects itself at (10,0). Find the values of t for which this intersection occurs. (Enter your answers as a comma- Consider X(t) = 12 and y(t) = separated list.) Find the two tangent lines at the point (10,0). (smaller slope) (larger slope)
Find the equation for the plane through Po(-1, -7,4) perpendicular to the following line. x= - 1+t, y= - 7+ 3t, z = -5t, -o0<t<00 The equation of the plane is 0.
7. (-/1 Points) DETAILS LARCALC11 11.R.037. Find sets of parametric equations and symmetric equations of the line that passes through the two points. (For the line, write the direction numbers as integers.) (7, 0,5), (10, 11, 9) (a) Find sets of parametric equations. (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.) (b) Find sets of symmetric equations. *57 - 11 3+5 0 - 7x + 3 = 11y = -5z +...
intersects the plane Q3: Find the point where the line x x = + 2t , y = -2t, z = 1+t through P (1,1,-1). Q(2,0.2) and S (0,2,1) ?
Find a vector equation and parametric equations for the line segment that joins P to Q. (D |-1+2-) 1 P(0, -1, 4) 4 -t.2 3 t. r(t) 4 vector equation X 7 4 t.2 3 1 - t. (x(t), y(t), z(t)) 4 X - parametric equations 2 If two objects travel through space along two different curves, it's often important to know whether they will collide. (Will a missile hit its moving target? Will two aircraft collide?) The curves might...
Find the upward flux of F vector=<x,y,z> across: a.
x^2+y^2+z^2=1, z0
and b. z=1-x^2-y^2, z0.
Please be detail thanks.
We were unable to transcribe this imageWe were unable to transcribe this imageZ S FIND THE UPWARD FLUX OF SX,Y,Z) ACROSS: a. pol + y2 + z = 1, z>0 AND b. ž= 1-x2-, z>O
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...