Thanks so much! 14. Find the vector form and the point normal form of the equations...
(a). Find the equation of the plane through Po = (1,2,1) with normal vector i = (3,1,2) (b). Find the equation of a plane through Po = (2,3,1) and parallel to the plane P:3x + 2y -- z = 4 | Q4. Consider the line z-3 y-2 3 L, : * - - - L2: **** 2+5 y-3 -1 2 (i). Write the equations of both lines in parametric form (ii). Find the direction vectors V1, V2 of the lines...
Find the normal form of the equation of the plane that passes through Find the vector form of the equation of the line in ℝ2 that passes through P = (5, −2) and is parallel to the line with general equation 5x − 4y = 2.
Equations of Lines For problems 3 & 4 give the vector and parametric form of the equation of given line. *4. The line that passes through (10,-8, 14) and is parallel to r(t)=(9,-3+6t, 141).
Problem 2. (1 point) Find a unit vector with positive first coordinate that is orthogonal to the plane through the points P = (1, 2, 4), Q = (2,3,5), and R = (2,3,6). Note: You can earn partial credit on this problem.
Use the cross product to help find the normal form of the equation of a plane. 4. Use the cross product to help find the normal form of the equation of the plane. a. The plane passing through P= (1,0, –2), parallel to [0] u= 1 and v= -1 [ 2] b. The plane passing through P= (0,-1,1), Q = (2,0, 2), and R= (1, 2, -1)
Please answer ALL questions! Thanks in advance. Put the following equations into straight-line form. Assume for both cases that T is the dependent variable, and the L and r are the independent variables in and respectively. T = C Squareroot L/g T = 2 pi r^3/2/Squareroot G M_g I have a vector that is 15m in magnitude (|A|). It starts at the origin and is pointing 15 degree (Theta-A) above the x - axis. What are the x and y...
(1 pt) (A) Find the parametric equations for the line through the point P = (2, 3, 4) that is perpendicular to the plane 2x + 1 y + 3z 1 . Use 't', as your variable, t 0 should correspond to P, and the velocity vector of the line should be the same as the standard normal vector of the plane. X= y- (B) At what point Q does this line intersect the yz-plane?
PLEASE SHOW AND EXPLAIN ALL STEPS FOR ALL 3 PARTS......I'M LOST......THANKS SO MUCH!! r 1 Given the vector field in space F(x, y, z) = xi + yj + zk or more conveniently, (x2 + y2 + 22)3/2 F(r) =3 = f where r = xi + yj + zk and r = = 1|r1| Vr2 + y2 + x2 (instead of p) (a) (10 pts) Find the divergence of F, that is, V.F. =V (b) (10 pts) Directly evaluate...
(a) Find a unit vector that is orthogonal to the plane through the points P(0,0,–3), Q(4,2,0), and R(3,3,1) (b) Find two non-parallel vectors that are orthogonal to the vector Ŭ = i + 2) + 3k (c) Find the angel between the vector Ở = 51 + 21 – k and the z - axis (d) Describe why it is impossible for a vector to have the following direction angles 511 6 -, B = 3, and y TT π...
14. The vector v has initial point P and terminal point Q. Writev in the form ai + bj, that is, find its position vector. P = (3,6); Q=(-1,-2) A) v = 4i +8j B) v = 8i + 4; C) v = -8i - 4j D) v=4i-8j Fill in the blanks 15. Convert the angle in degrees to radians. Express the answer as multiple of T. 154 16. Convert the angle in radians to degrees 37 17. If A...