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Chapter 10 Vector Algebra Ex 10.2 Solutions

Question - 1 : -

Compute themagnitude of the following vectors:

Answer - 1 : -

Given vectors are:

Question - 2 : -

Write two differentvectors having same magnitude.

Answer - 2 : -


Question - 3 : -

Write two differentvectors having same direction.

Answer - 3 : -

Two different vectors having same directions are:

Let us

Question - 4 : -

Find the valuesof x and y so that the vectors are equal

Answer - 4 : - Given vectors
will be equal only if their corresponding components are equal.
Thus,the required values of x and y are 2 and 3respectively.

Question - 5 : -

Find the scalar andvector components of the vector with initial point (2, 1) and terminal point(–5, 7).

Answer - 5 : -

The scalar and vector components are:

The vector with initial point P (2, 1) and terminal point Q (–5,7) can be shown as,

Thus, the required scalar components are –7 and 6 while thevector components are

Question - 6 : -

Find the sum of thevectors

Answer - 6 : -

Let us find the sum of the vectors:

Question - 7 : -

Find the unitvector in the direction of the vector

Answer - 7 : -

We know that

Question - 8 : - Find the unit vector in the direction of vector ,where P and Q are the points (1, 2, 3) and (4,5, 6), respectively

Answer - 8 : -

We know that,

Question - 9 : -

For givenvectors, and , find the unit vector in thedirection of the vector 

Answer - 9 : -

We know that,

Question - 10 : -

Find a vector inthe direction of vector which has magnitude 8 units.

Answer - 10 : -

Firstly,

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