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Find the value of x for which x (hat i +...

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

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If vec a = hat i + hat j + hat k , vec b = 2 hat i - hat j + 3 hat k and vec c = hat i - 2 hat j + hat k , find a unit vector parallel to the vector 2 veca - vec b + 3 vec c

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Thescalar product of the vector hat i + hat j + hat k with a unit vector along the sum of vectors 2 hat i + 4 hat j - 5 hat k and lambda hat i + 2 hat j + 3 hat k is equal to one. Find the value of lambda .

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NEW JOYTHI PUBLICATION-VECTOR ALGEBRA-SOLUTION TO EXERCISE MISCELLANEOUS EXERCISE
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  3. A girl walks 4 km towards west, then she walks 3 km in a direction 30^...

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  6. Find a vector of magnitude 5 units, and parallel to the resultant of t...

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  7. If vec a = hat i + hat j + hat k, vec b = 2 hat i - hat j + 3 hat k an...

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  8. Show that the points A(1, -2, -8) B (5, 0, -2) and C(11, 3, 7) are col...

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  9. Find the position vector of a point R which divides the line joining t...

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  10. The two adjacent sides of a parallelogram are 2 hat i - 4 hat j + 5 ha...

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  11. Show that the direction cosines of a vector equally inclined to the ax...

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  12. Let vec a= hat i+4 hat j+2 hat k ,\ vec b=3 hat i-2 hat j+7 hat k\ a...

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  13. Thescalar product of the vector hat i + hat j + hat k with a unit vect...

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  14. If vec a , vec b , vec c are mutually perpenedicular vectors of eq...

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  15. Prove that (vec a + vec b).(vec a + vec b) = | vec a|^(2) + |vec b|^(2...

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  16. If theta is the angle between two vectors vec a and vec b, then veca. ...

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  17. If vec a\ a n d\ vec b be two unit vectors and theta is the angle be...

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