3. Given the points P(-2,3,1), Q(2,-2,0), and R(4,1,0) (a) Find the area of the triangle ДPQR....
(b) Find the area of the triangle PQR. Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS. P(−2, 1, 0), Q(3, 5, 3), R(1, 4, −1), S(3, 6, 2) 9. +5/10 points | Previous Answers SCalcET8 12.4.029 Consider the points below. (a) Find a nonzero vector orthogonal to the plane through the points P, Q, and R. 〈0.16,-8) (b) Find the area of the triangle PQR. Need Help? Read It Watch It Talk to a Tutor...
Q = (0,6, -4) R= (5,-4, -5) Consider the triangle with vertices: P= (-2,0, -1) (a) Find the vectors PO, PŘ, and QŘ (b) What is the measure of the angle at P (ZQPR)? (c) What is the perimeter of the triangle APQR ? (d) What is the area of the triangle APQR? (e) Find a vector that is perpendicular to the plane containing P, Q, and R Verify that the vector you have found is perpendicular to PO (f)...
3. (5 points) Consider the points P(1,2,3), ((3,0,4) and R(4.-2,3). a Find area of the triangle created by P, Q, and R. b. Find the equation of the plane containing the points P, Q, and R.
Question 3 Consider the triangle constructed from the points () = (0,0), Q = (2,0) and P = (L cos 0, L sin (). (a) Write a function for the area of the triangle in terms of 0 and L, namely A(0, L). 3 (b) Show that if the triangle has a perimeter of 6 then L = 2 - cose (c) Sketch the domain of A on a OL-axes to ensure that the following conditions hold • L represent...
find the area of a triangle which has vertices at P(2,-3,4), Q(0,1,2), and R(-1,2,0) in R^3.
PLEASE SOLVE BOTH QUESTIONS. - 3.3 Given the vertices of a triangle P(1, 2,0), Q(2,5,0), and R(0,4,7), find (a) the interior angles, (b) a unit vector normal to the surface containing the triangle, and (c) the area of the triangle. 3.11 A solenoid has 200 turns, is 10.0 cm long, and has a radius of 1.0 cm. Assuming 1.0 A of current, determine the magnetic field intensity at the very center of the solenoid. How does this compare with your...
Find the area of APQR. P(1, 0, 1), Q(0, 1, 0), R(4, 9, 10) Need Help? Read It Watch It Talk to a Tutor Show My Work (Optional) Submit Answer [-/2 Points] DETAILS SPRECALC7 9.5.029. MY NOTES AS Three vectors u, v, and w are given. u = (1, 2, 3), v = (-3, 2, 1), w = (0,4, 5) (a) Find their scalar triple product u. (V x W). (b) Are the vectors coplanar? Yes NO If not, find...
4. Find the area of the triangle ABC if A = (3,2), B = (4,2), C = (1,0). 21 1, z = [0] 3 5. Find the volume of the parallelepiped built on ai = and ag = 2 in 111 R?
Q1. Given the points A: (0,0,2), B: (3,0,2), C: (1,2,1), and D: (2, 1,4 a) Find the cross product v - AB x AC. b) Find the equation of the plane P containing the triangle with vertices A, B, and C c) Find u the unit normal vector to P with direction v d) Find the component of AD over u and the angle between AD and u, then calculate the volume of the parallelepiped with edges AB, AC, AD...
9. Using theorem 12.3, find the three angles of the triangle with vertices P (1,0,-1), Q = (3,-2,0), and R (1,3, 3). a b 2 cose 9. Using theorem 12.3, find the three angles of the triangle with vertices P (1,0,-1), Q = (3,-2,0), and R (1,3, 3). a b 2 cose