Home
Class 12
MATHS
Let veca,vecbandvecc be three vectors s...

Let `veca,vecbandvecc` be three vectors such that `|veca|=3,|vecb|=4,|vecc|=5`and each one of them being perpendicular to the sum of the other two , find `|veca+vecb+vecc|`.

Text Solution

Verified by Experts

The correct Answer is:
`5sqrt(2)`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise EXERCISE-10.1|5 Videos
  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise EXERCISE-10.2|21 Videos
  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

If veca=vecb+vecc , then is it true that |veca|=|vecb|+|vecc| ? Justify your answer .

If veca,vecb,vecc are unit vectors such that veca+vecb+vecc=vec0 , find the value of veca*vecb+vecb*vecc+vecc*veca .

If veca and vecb are two unit vectors such that veca+2vecb and 5veca-4vecb are perpendicular to each other, then the angle between veca and vecb is

Find |veca-vecb| , if two vectors vecaandvecb are such that |veca|=2,|vecb|=3andveca*vecb=4 .

The resultant of vecA and vecB is perpendicular to vecA . What is the angle between vecA and vecB ?

Show that veca.(vecbxxvec c) is equal in magnitude to the volume of the parallelopiped formed on the three vectors, veca,vecb and vec c

Let the vectors vecaandvecb be such that |veca|=3and|vecb|=(sqrt(2))/(3) , then vecaxxvecb is a unit vector , if the angle between vecaandvecb is

If veca+vecb+vecc=vec0, |veca| = 3, |vecb| = 5, |vecc| = 7 , then angle between veca and vecb is

Two vectors vecA and vecB are such that vecA+vecB=vecA-vecB . Then