Home
Class 12
MATHS
If either vec a = vec 0 or vec a xx vec...

If either `vec a = vec 0` or `vec a xx vec b = vec 0` .Is the converse true? Justify your answer with an example.

Text Solution

Verified by Experts

The correct Answer is:
`(because R_(2)` and `R_(3)` are proportional)
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise ADDITIONAL QUESTIONS FOR PRACTICE 10.1|2 Videos

  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise ADDITIONAL QUESTIONS FOR PRACTICE 10.2|13 Videos

  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise SOLUTIONS TO NCERT TEXT BOOK EXERCISE 10.3|18 Videos

  • TRIGONOMETRIC FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|134 Videos

Similar Questions

Explore conceptually related problems

If either veca=vec0orvecb=vec0 , then vecaxxvecb=vec0 . Is the converse true ? Justify your answer with an example.

If either vector vec a = vec 0 or vec b = vec 0 , then veca.vec b = 0 .But the converse need not be true Justify your answer with an example.

If either vector veca=vec0orvecb=vec0 , , then veca*vecb=0 . But the converes need not be true . Justify your answer with an example.

If vec a xx vec b and vec a. vecb = 0 then

Show that (vec a - vec b) xx (vec a + vec b) = 2 (vec a xx vec b)

If veca = vec b+ vec c , then is it true that |veca| = |vec b| + |vec c| ? Justify your answer.

Show that ( vec a- vec b)xx( vec a+ vec b)=2( vec axx vec b)dot

If for two vectors vec(A) and vec(B), vec(A) xx vec(B) = 0 then the vectors are :

If for two vectors vec(A) and vec(B), vec(A) xx vec(B) = 0 then the vectors are :

If |vec a| = 2, |vec b| = 5 and |vec a xx vec b| = 8 , find the value of vec a. vecb