Embibe Experts Solutions for Chapter: Vector Algebra, Exercise 1: Madhya Pradesh Board-2018

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Embibe Experts Mathematics Solutions for Exercise - Embibe Experts Solutions for Chapter: Vector Algebra, Exercise 1: Madhya Pradesh Board-2018

Attempt the free practice questions on Chapter 10: Vector Algebra, Exercise 1: Madhya Pradesh Board-2018 with hints and solutions to strengthen your understanding. EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS solutions are prepared by Experienced Embibe Experts.

Questions from Embibe Experts Solutions for Chapter: Vector Algebra, Exercise 1: Madhya Pradesh Board-2018 with Hints & Solutions

MEDIUM
12th Madhya Pradesh Board
IMPORTANT

Find the projection of a=2i^+3j^+2k^ on the vector b=i^+2j^+k^.

MEDIUM
12th Madhya Pradesh Board
IMPORTANT

If a+b+c=0, then prove that a×b=b×c=c×a.

MEDIUM
12th Madhya Pradesh Board
IMPORTANT

Find the area of the parallelogram whose adjacent sides are determined by the vectors a=3i^+j^+4k^ and b=i^-j^+k^.

HARD
12th Madhya Pradesh Board
IMPORTANT

Show that the angle between any two diagonals of a cube is cos-113.

EASY
12th Madhya Pradesh Board
IMPORTANT

Find the angle between two vectors a and b with magnitudes 1 and 2, respectively, and satisfying a·b=1

EASY
12th Madhya Pradesh Board
IMPORTANT

Find a vector in the direction of the vector a=i^-2j^ that has magnitude of 7 units.

MEDIUM
12th Madhya Pradesh Board
IMPORTANT

Find a unit vector perpendicular to each of the vectors a+b and a-b, where a=i^+j^+k^ and b=i^+2j^+3k^

MEDIUM
12th Madhya Pradesh Board
IMPORTANT

Show that three points A(-2i^+3j^+5k^), B(i^+2j^+3k^) and C(7i^-k^) are collinear.