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NCERT Class 12 Maths Chapter 10: Vector Algebra 19 Questions Solved

NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra — Exercise 10.2

Click any question below for its step-by-step NCERT textbook solution, concept hints, and worked explanation.

Compute magnitudes of a=\(\left[\begin{matrix}1\\1\\1\end{matrix}\right]\), b=\(\left[\begin{matrix}2\\-7\\-3\end{matrix}\right]\)…

Write two different vectors having the same magnitude.

Write two different vectors having the same direction.

Find x,y for 2i+3j=xi+yj.

Find the scalar and vector components of the displacement from (2,1) to (−5,7).

Find the sum of i−2j+k, −2i+4j+5k and i−6j−7k.

Find the unit vector in the direction i+j+2k.

Find a unit vector in direction PQ for P(1,2,3), Q(4,5,6).

For a=2i−j+2k and b=−i+j−k, find a unit vector in the direction a+b.

Find a vector in direction 5i−j+2k with magnitude 8.

Show 2i−3j+4k and −4i+6j−8k are collinear.

Find direction cosines of i+2j+3k.

Find direction cosines from A(1,2,−3) toward B(−1,−2,1).

Show i+j+k is equally inclined to the positive coordinate axes.

Find R dividing P=i+2j−k, Q=−i+j+k in ratio PR:RQ=2:1 (i) internally (ii) externally.

Find the midpoint position vector for P(2,3,4), Q(4,1,−2).

Show the points with position vectors (3,−4,−4),(2,−1,1),(1,−3,−5) form a right-angled triangle.

In triangle ABC shown, which identity is not true?

For collinear vectors a,b, which statements are incorrect as general conclusions?