Home
Class 11
MATHS
Let vec(a), vec(b), vec(c ) be three vec...

Let `vec(a), vec(b), vec(c )` be three vectors satisfying `vec(a) xx vec(b) = 2vec(a) xx vec(c ), |vec(a)| = |vec(c )| =1, |vec(b)|=4 and |vec(b) xx vec(c )|= sqrt15`. If `vec(b)- 2vec(c )= lamda vec(a)`, find the value of `lamda`.

Text Solution

Verified by Experts

The correct Answer is:
`+- 4`
Promotional Banner

Topper's Solved these Questions

  • VECTOR (CROSS) PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise Exercise-I|22 Videos

  • VECTOR (CROSS) PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise Exercise-II|47 Videos

  • VECTOR (CROSS) PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise Exercise-3.1 ( Short Answer Questions)|23 Videos

  • TRIGONOMETRIC RATIOS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II) (PRACTICE SHEET (ADVANCED) SIGNLE ANSWER TYPE QUESTIONS)|23 Videos

Similar Questions

Explore conceptually related problems

(vec(a) xx vec(b), vec(b) xx vec(a)) =

If vec(a) + vec(b) + vec(c )= vec(0) and |vec(a) xx vec(b)|=3 , then |vec(b) xx vec(c )| =

If vec(a) xx vec(b)= vec(c ) xx vec(d), vec(a) xx vec(c )= vec(b) xx vec(d) , then

If vec(a) + 2vec(b) + 4vec(c ) = vec(0) then show that vec(a) xx vec(b) =4 (vec(b) xx vec(c ))= 2(vec(c ) xx vec(a))

Let vec(C ) = vec(A) + vec(B) ,

If three vectors vec(a), vec(b), vec(c ) are such that vec(a) ne vec(0) and vec(a) xx vec(b)=2 (vec(a) xx vec(c )), |vec(a)| = |vec(c )| =1, |vec(b)|=4 and the angle between vec(b) and vec(c ) is cos^(-1) ((1)/(4)) , then vec(b)-2vec(c )= lamda vec(a) where lamda =

If vec(a) + 2vec(b) + 4 vec(c )= vec(0) , then vec(a) xx vec(b) + vec(b) xx vec(c )+ vec(c )xx vec(a)=

If vec(u)= vec(a)- vec(b), vec(v)= vec(a) + vec(b) and |vec(a)| =|vec(b)|=2 , then |vec(u) xx vec(v)| =

If vec(a), vec(b) are unit vectors satisfying (5vec(a) + 3vec(b)) xx (3vec(a) -7vec(b))=vec(0) , then (vec(a), vec(b)) is

If vec(p)= vec(a)-vec(b), vec(q)= vec(a) + vec(b), |vec(a)|= |vec(b)|=t " then " |vec(p) xx vec(q)| =