WebTranscribed image text: Consider the point. (1, 3, 4) What is the projection of the point on the xy-plane? (x, y, z) = ) What is the projection of the point on the yz-plane? (x, y, z) = What is the projection of the point on the xz-plane? (x, y, z) = ([ Draw a rectangular box with the origin and (1, 3, 4) as opposite vertices and with its faces ... WebFeb 17, 2024 · Find the image of the point $(1,3,4)$ on the plane $2x-y+z+3=0$. Let the image be $(a,b,c)$. Equation of the line joining $(1,3,4)$ and $(a,b,c)$ is $(a-1,b-3,c-4)$ …
Find the coordinates of the image of the point (1, 3, 4) in the plane ...
WebStep 1: Find the equation of a line through a point P (1, 3, 4) and perpendicular to the plane 2 x-y + z + 3 = 0. The direction ratios of the normal of the plane are 2,-1, 1. Equation of line is … WebNow we see that the image of A (3,4) A(3,4) under the rotation is A' (-4,3) A′(−4,3). Notice it's easier to rotate the points that lie on the axes, and these help us find the image of A A: Solution method 2: The algebraic approach Let's take a closer look at points A A and A' A′: set no expired user linux
Rotating shapes about the origin by multiples of 90° - Khan Academy
WebOct 23, 2024 · asked Oct 23, 2024 in Mathematics by Samantha (39.3k points) The image of the point (-1, 3, 4) in the plane x - 2y = 0 is. (a) (15, 11, 4) (b) (-17/3, -19/3, 1) (c) (8, 4, 4) … WebApr 3, 2024 · Hint: The image of a point with respect to a plane is a point which is in the opposite direction to the plane at an equal distance, and the line joining the point and its image is perpendicular to the plane. Complete step-by-step answer: Let the point be A ( … WebMay 30, 2024 · For any point like A(3, 1, 2) taken as (x1, y1, z1) And plane like x + 2y + z − 1 = 0 taken as ax + by + cz + d = 0 Its mirror image will be (x − x1) / a = (y − y1) / b = (z − z1) / … pandémie exemple