Home
Class 12
MATHS
If veca,vecb,vecc are perpendicular to e...

If `veca,vecb,vecc` are perpendicular to each other, prove that
`[veca.(vecbxxvecc)]^(2)=a^(2)b^(2)c^(2)`

Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (MCQ)|46 Videos

  • VECTOR ALGEBRA

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION VI) |4 Videos

  • THREE DIMENSIONAL GEOMETRY

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE |60 Videos

Similar Questions

Explore conceptually related problems

If veca and vecb are perpendicular vectors, show that (veca+vecb)^(2)=(veca-vecb)^(2)

If veca and vecb are any two vectors, prove that (vecaxxvecb)^(2)=|veca|^(2)|vecb|^(2)-(veca.vecb)^(2) It is known as Largange's indentity.

If veca,vecb,vecc are mutually perpendicular unit vectors and vecaxxvecb=vecc , show that vecb=veccxxveca and veca=vecbxxvecc .

Let veca and vecb be two unit vectors. If the vectors : vecc=veca+2vecb and vecd=5veca-4vecb are perpendicular to each other, then the angle between veca and vecb is :

Let veca,vecb and vecc be three vectors of magnitude 3,2,5 respectively. If each one is perpendicular to the sum of other two vectors, prove that : |veca+vecb+vecc|=sqrt(38) .

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

If veca, vecb, vecc are mutually perpendicular vectors of equal magnitudes, show that the vector veca+vecb+vecc is equally inclined to veca, vecb and vecc .

If veca,vecb are vectors perpendicular to each other and |veca|=2, |vecb|=3, vecc xx veca=vecb , then the least value of 2|vecc-veca| is

Let veca,vecb,vecc be the three vectors of magnitude 5, 3, I respectively. If each one is perpendicular to the sum of other two vectors, prove that |veca+vecb+vecc| = sqrt35 .