Find the sum of the vectors veca = hat i...

Find the sum of the vectors `veca = hat i - 2 hat j + hat k, vec b = - 2 hat i + 4 hat j + 5 hat k` and `vec c = hat i - 6 hat j - 7 hat k`.

Text Solution

Verified by Experts

The correct Answer is:

Refer Example 6

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 sum of the vectors vec a = hat i - 2 hat j + hat k , vec b = -2 hat i + 4 hat j + 5 hat k and vec c = hat i - 6 hat j - 7 hat k

Find the sum of the vectors vec a = hat i -2 hat j + hat k , vec b = 2 hat i +4 hat j +5 hat k and vec c = 2 hat i -6 hat j -7 hat k

Find the sum of the vectors vec a = hat i-2 hat j+ hat k and vec b=-2 hat i+4 hat j +5 hat k and vec c = hat i -6 hat j -7 hat k

A vector of magnitude 7 units, parallel to the resultant of the vectors vec a = 2 hat i - 3 hat j - 2 hat k and vec b = - hat i + 2 hat j + hat k and vec c = - hat i + 2 hat j + hat k

Show that the vectors vec a = hat i - 2 hat j + 3 hat k, vec b = -2 hat i + 3 hat j - 4 hat k and vec c = hat i - 3 hat j + 5 hat k are coplanar.

Show that the vectors vec a = hat i - 2 hat j + 3 hat k , vec b = -2 hat i +3hat j - 4 hat k and vec c = hat i - 3 hat j + 5 hat k are coplanar.

Find [vec a, vec b, vec c] if vec a = hat i - 2 hat j + 3 hat k , vec b = 2 hat i - 3 hat j + hat k and vec c = 3 hat i + hat j - 2 hat k .

Find the angle between the vectors vec a = 3 hat i + 4 hat j + hat k vec b = 2 hat i + 3 hat j - hat k .

Find the volume of a parallelopiped whose edges are represented by the vectors vec a = 2 hat i -3 hat j -4 hat k and vec b = hat i +2 hat j - hat k and vec c = 3 hat i + hat j + 2 hat k .

Show that the vectors vec a = hat i-2 hat j+3 hat k and vec b=-2 hat i+3 hat j -4 hat k and vec c = hat i -3 hat j +5 hat k are coplanar

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
|