7. (9 pts) Find a vector perpendicular to the plane containing the triangle whose vertices are (1, 3, 2), (4, –2, 1), and (2, 3, –1)
7. (9 pts) Find a vector perpendicular to the plane containing the triangle whose vertices are...
Find the perimeter of the triangle whose vertices are the following specified points in the plane. (0,-3), (-2, 1) and (-4, 6) Answer
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)...
Suppose a triangle is plotted on a coordinate plane with vertices located at ( -9, 3),(-3, -9) and (13, -1). What is the perimeter of the triangle?
1. (1 point) Find two vectors vi and v2 whose sum is (-3,0), where Vi is parallel to(-2,-4) while v2 is perpendicular to-2,-4) and Answer(s) submitted: (incorrect) 2. (1 point) Find the angle θ between the vectors a- 10i -j- 5k and b 2i+j- 21k Answer (in radians): θ Answer(s) submitted: (incorrect) 3. (1 point) Find a vector a that has the same direction as -6,5,6) but has length 3. Answer: a Answer(s) submitted: (incorrect) 4. (1 point) Suppose we...
2. (5 points) (a) Find a vector perpendicular to the plane through the points A(0, -2,0), B(4,1, -2) and C(5,3,1). (b) Find an equation of the plane through the points A, B, and C. (b) Find the area of the triangle ABC.
2. (5 points) (a) Find a vector perpendicular to the plane through the points A(0, -2,0), B(4,1, -2) and C(5,3,1). (b) Find an equation of the plane through the points A, B, and C. (b) Find the area of the triangle ABC.
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)
Find the measures of the angles of the triangle whose vertices are A = ( - 2,0), B = (2,1), and C=(2,-3)
the base of a solid is the triangle in the xy-plane
with vertices (0,0), (2,0), (0,3). The cross-sections of the solid
perpendicular to the x-axis are squares with sides in the xy-plane.
Find the volume of this solid.
The base of a sold is the triangle in the type with rices (0,01.(2.0),(0,3) The cross sections of the son parastareas are roures with sides in the xy-plane Find the volume of this solid (HINT: Do not include unnecessary spaces or decimal...
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...