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the plane PQ X PR 1. Find unit vector the perpendicular to P(1,1,1), Q(2,1,3), R(2, 2,...
Let P(0,1,0), Q(2,1,3), R(1,-1,2). (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? Please answer ic.
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)
(a) find the area of the triangle determined by the pointsP(1,1,1) , Q(2,1,3) , R(3,-1,1).(b) find a unit vector perpendicular to the plane PQR.
The vector a1=(1,1,0) and a2=(1,1,1) span plane in R^3. Find the projection matrix P onto the plane, and find nonzero vector b that is projected to zero.
Find the unit vector that points in the same direction as the vector from the point P=(8,2) to the point Q=(5,9)Find vector PQ, then divide it by its magnitude.
Given points P(2,-1), Q(-4, 2), and M(5,3), find coordinates of a point K such that MK is perpendicular to PQ.
find p/q if (2q^2-pq):(q^2-pq) = 2:3.
Find the directions in the xy-plane in which the function fixy) 15-2x2 -y2 has zero change at the point P(2,1,3) Express the directions in terms of unit vectors What is the unt vector in a direction of zero change with a positive x-component? Type exact answers, using radicals as needed.) What is the other unit vector in a direction of zero change? (Type exact anowers, using radicals as needed.) cess Ubrary Enter your answer in each of the answer boxes...
a line RS is perpendicular to plane p at R. If T is a second point not on. Can RT be perpendicular to plane P? Lines AB and LM are each perpendicular to plane P. Are AB and LM coplanar? Plan P is perpendicular to AB at B. Plane Q intersects AB at P. Can Q be perpendicular to AB?
TOTAL MARKS: 25 QUESTION 4 (a) Find a normal vector and an equation for the tangent plane to the surface at the point P: (-2,1,3). Determine the equation of the line formed by the intersection of this plane with the plane z = 0. 10 marks (b) Find the directional derivative of the function F(r, y, z)at the point P: (1,-1,-2) in the direction of the vector Give a brief interpretation of what your result means. 2y -3 [9 marks]...