Embibe Experts Solutions for Chapter: Three Dimensional Geometry, Exercise 1: Exercise

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Embibe Experts Mathematics Solutions for Exercise - Embibe Experts Solutions for Chapter: Three Dimensional Geometry, Exercise 1: Exercise

Attempt the practice questions on Chapter 11: Three Dimensional Geometry, Exercise 1: Exercise with hints and solutions to strengthen your understanding. Mathematics Crash Course (Based on Revised Syllabus - 2023) solutions are prepared by Experienced Embibe Experts.

Questions from Embibe Experts Solutions for Chapter: Three Dimensional Geometry, Exercise 1: Exercise with Hints & Solutions

MEDIUM
12th CBSE
IMPORTANT

The vector equation of the line passing through the point (-1,5,4) and perpendicular to the plane z=0 is 

EASY
12th CBSE
IMPORTANT

If a vector makes angles α, β, γ with the co-ordinate axes, then show that, sin2α+sin2β+sin2γ=2.

HARD
12th CBSE
IMPORTANT

If P (1, y, z) lies on the line through (3,2,-1) and (-4, 6, 3), find y & z.

EASY
12th CBSE
IMPORTANT

Find the direction cosines of the line x-22=2y-5-3=z+10

HARD
12th CBSE
IMPORTANT

Find the shortest distance between the two given straight lines r=2i^+3j^+4k^+t-2i^+j^-2k^ and x-32=y-1=z+22.

HARD
12th CBSE
IMPORTANT

Show that the shortest distance between the lines x + a=2y=-12z and x+y+2a=6z-6a, is 2a.

HARD
12th CBSE
IMPORTANT

Find the shortest distance between the lines x-33=y-8-1=z-31 and x+3-3=y+72=z-64. Find also the equation of the line of the shortest distance.

EASY
12th CBSE
IMPORTANT

The number of straight lines that are equally inclined to three coordinate axes is