Let veca = vec(QR) , vecb = vec(RP) a... 03:25 Let vecu = u(1)hati + u(2)hatj +u(3)hatk be a unit vector in R^(3) a... 01:35 Let O be the origin and let PQR be an arbitrary triangle. The point S ... 02:55 Let O be the origin and OX, OY, OZ be ...
In a triangle ABC , let P and Q be points on AB and AC respectively such that PQ∣∣BC . Prove that the median AD bisects PQ. View Solution In the given triangle P, Q and R are the mid points of sides AB, BC and AC respectively. Prove that triangle PQR is similar to triangle...
Compute the area of the triangle PQR where P(1, 0, 0), Q(2, 1, -1), and R(0, 1, -2). Given P-(2,3,-1), Q=(-1,0,4), R=(0,-3,6), find the area of triangle PQR. Find the area of the triangle formed by the points (5, 2), (3, - 5), ...
Find the area of the PQR triangle P(1, -1, 2) , Q(0, 3, -1) , R(3, -4, 1) Find the area of the triangle \triangle ABC. Find the area of the following triangle. a) A = x/y b) A = 2 x/y c) A = 1/2 xy d) A = 2xy e) A = x^2 + y^2 Find...
Find the area of {eq}\triangle PQR {/eq}. Calculate the Area of Triangle with vertices: In mathematics, a triangle is a polygon that has three edges and three vertices. It is one of the basic shapes in geometry. The area of a triangle is described as the total reg...
P (0, -2, 0), Q (5, 1, -2), R (6, 2, 1) (a) Find a nonzero vector orthogonal to the plane through the points P, Q, and R. (b) Find the area of the triangle PQR.Consider the points below: P (0, -4, 0), Q ...
In a trianglePQR, let∠PQR=30oand the sidesPQandQRhave lengths10√3and 10, respectively. Then, which of the following statement(s) is (are) TRUE?∠QPR=45o(b) The area of the trianglePQRis25√3and∠QRP=120o(c) The radius of the incircle of the trianglePQRis10√3−15(d) The ...
Let O be the origin and let PQR be an arbitrary triangle. The point S is such that vec O Pdot vec O Q+ vec O Rdot vec O S= vec O Rdot vec O P+ vec O Qdot
Let D be the triangle with the vertices {eq}(0, 0), (1, 5), (3, 3){/eq}. Find {eq}\int_D\int x dA{/eq} Areas Using Integrals: It is said that a flat region D it is type I if it is between the graphs of two continuous functions of x, {...
Two or more similar triangles are the triangles that have same set of internal angles and the ratios of the corresponding sides opposite to the congruent angles in the similar triangles are proportional. For the △ABC∼△...