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.
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.
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)...
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
Find the three angles of the triangle with the given vertices: P(1,1,1), Q(1,−5,2), and R(−2,2,6) Find a nonzero vector orthogonal to the plane through the points: A=(0,1,−1), B=(0,6,−5), C=(4,−3,−4)
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. (4 points) (b) Find the volume of the parallelepiped with edges OP, OQ, and Oh. (4 points)
[1] Let A-11 j Let ถ be the triangle in R, with vertices (-3,-2), (2,3), (-1,1). (a) Find the area of Ω. (b) What is the shape of the image A(S2)? Find the area of A(S) c) Is the linear transformation A orientation preserving or reversing? [1] Let A-11 j Let ถ be the triangle in R, with vertices (-3,-2), (2,3), (-1,1). (a) Find the area of Ω. (b) What is the shape of the image A(S2)? Find the area...
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.
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...
DETAILS LARLINALG8 3.R.068. Use a determinant to find the area of the triangle with the given vertices. (-2, 0), (2, 0), (0,5)
Find the area of the triangle with the given vertices. Use the fact that the area of the triangle having u and v as adjacent sides is given by A = - 1 u xv ||- (3, 5, 7), (5, 5, 0), (-4, 0,5) A= Neea Help? camneck with CamScanner vurm Answer
(1) Equation of a Plane Let P(1,1,-1), Q(1,2,0), R(-2,2,2). (la) Compute PQxPR. (1b) Find the equation of the plane through P, Q and R in the form ax+by+cz=d. (10) What is the angle formed by this plane and the xy-plane?