WebAnswer If a line makes angles 90°, 135°, 45° with x, y and z-axes respectively, find its direction cosines. 439 Views Answer Show that the points (2, 3, 4), (–1, –2, 1), (5, 8, 7) are collinear. 119 Views Answer Show that the line through the points (1, –1, 2), (3, 4, –2) is perpendicular to the line through the points (0, 3, 2) and (3, 5, 6). WebMar 29, 2024 · Three Dimensional Geometry Important Extra Questions Very Long Answer Type 2. Question 1. Find the shortest distance between the lines: and (C.B.S.E. 2024) …
Find foot of perpendicular drawn from point (-1, 3, -6) to …
WebApr 8, 2024 · We know that on the y-axis, the x and the y coordinates are equal to zero. Since the foot of the perpendicular from the given point will lie on the y-axis, both the x and the y coordinates of the foot of the perpendicular will be equal to zero. Now, since the perpendicular line is normal to the y-axis, it will be parallel to the x-z plane. WebWe need to find q in order to find Q. We know Q is the foot of the perpendicular from P to Q. In other words, P Q → ⊥ A B →. We find P Q → = 2 q − 1, 2 q − 2, q + 1 . Since P Q → ⊥ A B →, then P Q → ⋅ A B → = 0. P Q → ⋅ A B → = 0 2 q − 1, 2 q − 2, q + 1 ⋅ 2, 2, 1 = 0 4 q − 2 + 4 q − 4 + q + 1 = 0 9 q = 5 q = 5 9 eat with the seasons csa
Three Dimensional Geometry Class 12 Maths Important Questions …
WebJun 9, 2024 · Input : P= (1, 0), a = -1, b = 1, c = 0 Output : Q = (0.5, 0.5) The foot of perpendicular from point (1, 0) to line -x + y = 0 is (0.5, 0.5) Input : P= (3, 3), a = 0, b = 1, c = -2 Output : Q = (3, 2) The foot of … WebMar 30, 2024 · Let point P (x1, y1, z1) be foot of perpendicular from origin Since perpendicular to plane is parallel to normal vector Vector (𝑶𝑷) ⃗ is parallel to normal vector 𝒏 ⃗ Given equation of the plane is 2x − 3y + 4z − … WebDec 11, 2024 · The length of the perpendicular is the perpendicular distance of given point from that line. If the perpendicular PL from point P on the given line be produced to Q such that PL = QL, then Q is known … company casuals prices