Home
Class 12
MATHS
Given that vec(a).vec(b)=0 and vec(a)xx ...

Given that `vec(a).vec(b)=0` and `vec(a)xx vec(b)=0`. What can you conclude about the vectors `vec(a)` and `vec(b)` ?

Text Solution

Verified by Experts

The correct Answer is:
`|vec(a)|=0` or `|vec(b)|=0`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise EXERCISE-10.5|8 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE - 10|19 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise EXERCISE-10.3|18 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

If vec(a).vec(a)=0 and vec(a).vec(b)=0 then what can be concluded about the vector vec(b) ?

If |vec(a)|=2|vec(b)|=5 and |vec(a)xx vec(b)|=8 then find vec(a).vec(b) .

Answer the following : (i) Can 2 similar vectors of different magnitude yield a zero resultant? Can 3 yield? (ii) Can vec(a)+vec(b)=vec(a)-vec(b) ? (iii) If vec(a)+vec(b)=vec(c) & |vec(a)|+|vec(b)|=|vec(c)| . What further information you can have about these vectors. (iv) If vec(a) & vec(b) are two non zero vectors such that |vec(a)+vec(b)|=|vec(a)+vec(b)| , then what is the angle between vec(a) & vec(b) . (v) Time has a magnitude & direction. Is it a vector? (iv) When will vec(a)xxvec(b)=vec(a).vec(b) ? (vii) Does the unit vectors vec(i), vec(j) & vec(k) have units?

If |vec(a)xx vec(b)|=vec(a).vec(b) then find the angle between vec(a) and vec(b) .

If vec(a)+vec(b)+vec( c )=0 and |vec(a)|=6,|vec(b)|=5,|vec( c )|=7 then find the angle between the vectors vec(b) and vec( c ) .

For two vectors vec(a) and vec(b),|vec(a)|=4,|vec(b)|=3 and vec(a).vec(b)=6 find the angle between vec(a) and vec(b) .

If vec(a) and vec(b) , are two collinear vectors, then which of the following are incorrect : (A) vec(b)=lambda vec(a) , for some scalar lambda (B) vec(a)=+-vec(b) ( C ) the respective components of vec(a) and vec(b) are not proportional (D) both the vectors vec(a) and vec(b) have same direction, but different magnitudes.

If |vec(a)|=2,|vec(b)|=5 and vec(a).vec(b)=10 then find |vec(a)-vec(b)| .