Home
Class 11
MATHS
If |veca|=3, |vecb|=6 and |vecaxxvecb|=9...

If `|veca|=3, |vecb|=6 and |vecaxxvecb|=9` then find the value between `|veca| and |vecb|.`

Text Solution

Verified by Experts

`veca.vecb= |veca||vecb|costheta,but |vecaxxvecb|=|veca||vecb|sintheta`
` or sin theta (|veca xx vecb|)/(|veca||vecb|)= 4/5 Rightarrow 4/5 Rightarrow theta= 3/5`
thereforem , `veca.vecb= 2xx5xx 3/5 = 6`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Exercise 2.3|18 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise single correct answer type|28 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Exercise 2.1|18 Videos

  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|1167 Videos

  • LIMITS AND DERIVATIVES

    CENGAGE PUBLICATION|Exercise All Questions|689 Videos

Similar Questions

Explore conceptually related problems

If |veca| = sqrt3,|vecb| = 2 and veca.vecb = sqrt6 , then find the angle between veca and vecb .

If |veca|=4 , |veca-vecb| = 6 and |veca +vecb|=8 then find |vecb|

If |veca|=|vecb|=|veca+vecb|=1 then find the value of |veca-vecb|

If veca and vecb are two vectors such that |veca|=2,|vecb|=3 and veca.vecb =4 , then find the value of |veca-vecb|

If |veca|=4,|vecb|=2 sqrt3 and |vecaxxvecb|=12 then the angle between the vectors veca and vecb is

If veca, vecb and vecc are such that [veca \ vecb \ vecc] =1, vecc= lambda (veca xx vecb) , angle between vecc and vecb is 2pi//3 , |veca|=sqrt2, |vecb|=sqrt3 and |vecc|=1/sqrt3 then the angle between veca and vecb is

If veca +vecb +vecc=0, |veca|=3,|vecb|=5, |vecc|=7 , then find the angle between vecb and vecc .

If veca+vecb=vecc and a+b=c , find the angle between veca and vecb .

If |veca|=7,|vecb|=sqrt(26) and |veca xx vecb|=35 , then the value of veca*vecb is -

If |vecaxxvecb|=veca*vecb , then what is the angle between veca and vecb ?