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

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The correct Answer is:
Take any two non-zero perpendicular vectors `vec(a)` and `vec(b)`.
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MODERN PUBLICATION-VECTOR ALGEBRA -EXERCISE 10 (e ) Short Answer Type Questions
  1. Find the magnitude of two vectors -> aand -> bhaving the same magni...

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  2. If vec adot vec a=0 and vec adot vec b=0, what can you conclude abou...

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  3. If either vector -> a= ->0 or -> b= ->0 , then -> adot -> b=0...

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  4. Find the scalar projection of : vec(a)=7hat(i)+hat(j)-4hat(k) on v...

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  5. Find the scalar projection of : vec(a)=3hat(i)-2hat(j)+hat(k) on ...

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  6. Find the scalar projection of : vec(a)=2hat(i)+3hat(j)+2hat(k) on ...

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  7. Find the scalar projection of : vec(a)=hat(i)-hat(j) on vec(b)=hat...

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  8. Find the scalar projection of : vec(a)=hat(i)+3hat(j)+7hat(k) on ...

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  9. Find the scalar projection of vec(b) on vec(a), when : vec(a)=2hat(...

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  10. Find the scalar projection of vec(b) on vec(a), when : vec(a)=2hat(...

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  11. Find the vector projection of the vector : 7hat(i)+hat(j)-hat(k) ...

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  12. Find the vector projection of the vector : 2hat(i)-hat(j)+hat(k) ...

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  13. Find lambda, when the projection of vec a=lambda hat i+ hat j+4 hat k...

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  14. Show that the vector vec a=1/7(2 hat i+3 hat j+6 hat k),\ vec b=1/7(...

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  15. If vec(a)=5hat(i)-hat(j)-3hat(k) and vec(b)=hat(i)+3hat(j)-5hat(k), t...

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  16. If vec(a)=hat(i)+2hat(j)-3hat(k) and vec(b)=3hat(i)-hat(j)+2hat(k), t...

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  17. Write the value of 'p' for which : vec(a)=3hat(i)+2hat(j)+9hat(k) and...

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  18. Find the value of 'lambda' such that the vectors vec(a) and vec(b) a...

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  19. Find the value of 'lambda' such that the vectors vec(a) and vec(b) a...

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  20. If 2hat(i)+hat(j)-3hat(k) and m hat(i)+3hat(j)-hat(k) are perpendicu...

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