Find the position vector of the midpoint...

Find the position vector of the midpoint of the vector joining the points P(2, 3, 4) and Q(4, 1 -2)

Text Solution

Verified by Experts

The correct Answer is:

`3 hat i + 2 hat j + hat k`

Topper's Solved these Questions

VECTOR ALGEBRA
NEW JOYTHI PUBLICATION|Exercise SOLUTIONS TO NCERT TEXT BOOK EXERCISE 10.3|18 Videos
VECTOR ALGEBRA
NEW JOYTHI PUBLICATION|Exercise SOLUTIONS TO NCERT TEXT BOOK EXERCISE 10.4|12 Videos
VECTOR ALGEBRA
NEW JOYTHI PUBLICATION|Exercise SOLUTIONS TO NCERT TEXT BOOK EXERCISE 10.1 (Answer the following as true or false )|4 Videos
TRIGONOMETRIC FUNCTIONS
NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|134 Videos

Similar Questions

Explore conceptually related problems

Find the position vector of the mid point of the vector joining the points P(2,3,4) and Q(4,1,-2).

If P and Q are two points with position vectors 4vec i - 3vecj and 2veci + 5vecj . Find the position vectors of the points which divide the line joining the points. P and Q in the ration 2:3internally and externally.

Find the direction cosines of the vector joining the points (0, 5, 3) and (1, 7,2).

Find the direction cosines of the vector joining the points A(-1, 2, 3) and B(1, 4, 1), directed from A to B.

Find the direction cosines of the vector joining the points A(1, 2,3) and B(-1, -2, 1) directed from A to B.

Find the vector and cartesian equation of the line joining the points (1, -2, 1) and (0, -2, 3).

Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are (2 vec a + vec b) and (vec a - 3 vec b) externally in the ratio 1 :2. Also, show that P is the midpoint of the line segment RQ.

Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are (2veca+vecb)and(veca-3vecb) externally in the ratio 1:2 Also , show that P is the mid point of the line segment RQ.

Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are hat i + 2 hat j - hat k and - hat i + hat j + hat k respectively, in the ratio 2 : 1 (i) internally (ii) externally

NEW JOYTHI PUBLICATION-VECTOR ALGEBRA-SOLUTIONS TO NCERT TEXT BOOK EXERCISE 10.2

Compute the magnitude of the following vectors. veca = hat i + hat j...
Text Solution
|
Write two different vectors having the same magnitude.
Text Solution
|
Write two different vectors having the same direction.
Text Solution
|
Find the values of x and y so that the vectors 4 hat i + 5 hat j and ...
Text Solution
|
Find the scalar and vector components of the vector with initial point...
Text Solution
|
Find the sum of the vectors veca = hat i - 2 hat j + hat k, vec b = - ...
Text Solution
|
Find the unit vector in the direction of the vector vec a = hat i - ha...
Text Solution
|
Find the unit vector in the direction of vector vec(PQ), where P and Q...
Text Solution
|
For given vectors vec a = 2 hat i - hat j + 2 hat k and vec b = - hat ...
Text Solution
|
Find a vector in the direction of vector 5 hat i - hat j + 2 hat k whi...
Text Solution
|
Show that the vectors 2 hat i-3 hat j+4 hat kand -4 hat i+6 hat j-8 h...
Text Solution
|
Find the direction cosines of the vector hat i + 2 hat j + 2 hat k.
Text Solution
|
Find the direction cosines of the vector joining the points A(-1, 2, 3...
Text Solution
|
Show that the vector hat i+ hat j+ hat kis equally inclined to the a...
Text Solution
|
Find the position vector of a point R which divides the line joining t...
Text Solution
|
Find the position vector of the midpoint of the vector joining the poi...
Text Solution
|
Show that the points A, B and C with position vectors vec a = 3 hat i ...
Text Solution
|
In triangle ABC, which of the following is not true?
Text Solution
|
If vec a and vec b are collinear vectors, then which of the following ...
Text Solution
|