Home
Class 12
MATHS
If barb and barc are two non-collinear v...

If `barb` and `barc` are two non-collinear vectors, then number of solutions (x,y) in `x,yin[0,10]` satisfying the equation `baracdot[barb+barc]=5` and `baraxx(barbxxbarc)=(x^(2)-2x+7)barb+(siny)barc` is

A

one

B

two

C

zero

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
B
`baraxx(barbccbarc)=(bara.barc)barb-(bara.barb).barc`
`rArrbara.barc=x^(2)-2x+7,bara.barb=-siny`
`bara.(barb+barc)=5`
`rArrx^(2)-2x+7-siny=5`
`x=1,y=(4n+1)(pi)/2=(pi)/2,(5pi)/2`
Promotional Banner

Similar Questions

Explore conceptually related problems

If bara,barb,barc are non-collinear vectors such that for some scalar x,y,z,xbara+ybarb+zbarc=0 , then

If bara,barb are non-collinear vectors and x,y are scalars such that xbara+ybarb=bar0 , then

If bara,barb,barc are three non-coplanar vectors and barp,barq,barr are defined by the relations barp=(barbxxbarc)/(bara barb barc),barq=(barcxxbara)/(bara barb barc),barr=(baraxxbarb)/(bara barb barc) then (bara+barb).barp+(barb+barc).barq+(barc+bara).barr=

If bara,barb,barc are non-coplanar vectors then [bar(a)+2bar(b)" "bar(a)+bar(c)" "bar(b)]=

If bara,barb,barc are non-coplanar vectors, then three points with position vectors bara-2barb+3barc,2bara+mbarb-4barc and -7barb+10barc will be collinear if m equals

IF bara barb and barc are three unit vectors such that bara times (barb times barc)=1/2 barb Find the angles which bara makes with barb and barc .

If barx.bara=0,barx.barb=0 and barx.barc=0 for some non-zero vectors x, then the TRUE statement is

If bara,barb and barc are non-coplanar vectors and the four points with position vectors 2bara+3barb-barc,bara-2barb+3barc,3bara+4barb-2barc,kbara-6barb+6barc are coplanar, then k