Home
Class 12
MATHS
If veca and vecb be two non collinear ve...

If `veca and vecb` be two non collinear vectors such that `veca=vecc+vecd`, where `vecc` is parallel to `vecb` and `vecd` is perpendicular to `vecb` obtain expression for `vecc and vecd` in terms of `veca and vecb` as: `vecd= veca- ((veca.vecb)vecb)/b^2,vecc= ((veca.vecb)vecb)/b^2`

Promotional Banner

Similar Questions

Explore conceptually related problems

If veca, vecb, vecc are vectors such that veca.vecb=0 and veca + vecb = vecc then:

vecA, vecB and vecC are vectors such that vecC= vecA + vecB and vecC bot vecA and also C= A . Angle between vecA and vecB is :

If veca, vecb, vecc are any three non coplanar vectors, then [(veca+vecb+vecc, veca-vecc, veca-vecb)] is equal to

Let veca,vecb and vecc are vectors such that |veca|=3,|vecb|=4and |vecc|=5, and (veca+vecb) is perpendicular to vecc,(vecb+vecc) is perpendiculatr to veca and (vecc+veca) is perpendicular to vecb . Then find the value of |veca+vecb+vecc| .

If veca, vecb, vecc are three non-zero vectors such that veca + vecb + vecc=0 and m = veca.vecb + vecb.vecc + vecc.veca , then:

The vector (veca.vecb)vecc-(veca.vecc)vecb is perpendicular to

If veca,vecbandvecc are unit vectors such that veca+vecb+vecc=0 , then the value of veca.vecb+vecb.vecc+vecc.veca is

If veca , vecb and vecc are three vectors such that vecaxx vecb =vecc, vecb xx vecc= veca, vecc xx veca =vecb then prove that |veca|= |vecb|=|vecc|

If veca , vecb and vecc are three vectors such that vecaxx vecb =vecc, vecb xx vecc= veca, vecc xx veca =vecb then prove that |veca|= |vecb|=|vecc|

for any three vectors, veca, vecb and vecc , (veca-vecb) . (vecb -vecc) xx (vecc -veca) = 2 veca.vecb xx vecc .