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If either vec a = vec 0 or vec b = vec0,...

If either `vec a = vec 0` or `vec b = vec0`, then `vec a xx vecb = vec 0`. Is the converse true ? Justify your answer with an example.

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PRADEEP PUBLICATION-VECTORS-EXERCISE
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  2. Let the vectors vec a, vec b, vec c be given as a1 hat i + a2 hat j +...

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  3. If either vec a = vec 0 or vec b = vec0, then vec a xx vecb = vec 0. I...

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  4. Find the area of the triangle with vertices A (1, 1, 2), B (2, 3, 5) a...

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  5. Find the area of the parallelogram whose adjacent sides are determined...

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  6. Let the vectors vec and vec b be such that |vec a|= 3 and |vec b|= sqr...

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  7. Area of a rectangle having vertices A [- hat i +1/2 hat j +4 hat k], B...

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  8. Find [vec a, vec b, vec c] if vec a= hati -2 hat j+ 3 hat k, vec b=2 h...

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  9. Show that the vectors vec a= hat i- 2hat j+ 3hat k, vec b,= -2hat i + ...

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  10. Find λ if the vectors hat i-hat j+ hat k, 3 hat i+ hat j+ 2 hat k and ...

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  11. Let vec a= hat i+ hat j+ hat k and vec b = hat i and vec c=c1 hat i + ...

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  12. Let vec a= hat i+ hat j+ hat k and vec b = hat i and vec c=c1 hat i + ...

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  13. Show that the four points with position vectors 4hati+8 hat j +12hat k...

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  14. Find 'x' such that the four points : A(3,2,1),B(4,x,5),C(4,2,-2) and D...

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  15. If a,b and c are coplanar show "[a+b b+c c+a]" are coplanar.

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  16. Write down a unit vector in XY-plane, making an angle of 30^o with the...

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  17. Find the scalar components and magnitude of the vector joining the poi...

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  18. A girl walks 4 km towards west, then she walks 3 km in a direction 30^...

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  19. If vec a= vec b + vec c then is it true that |vec a|= |vec b|+ |vec c|...

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  20. Find the value of x for which x (hat i +hat j +hat k) is a unit vector...

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