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MODERN PUBLICATION-VECTOR ALGEBRA -Miscellaneous Exercise on Chapter 10
- Write down a unit vector in XY-plane, making an angle of 30 with th...
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- Find the scalar components and magnitude of the vector joining the po...
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- A girl walks 4 km towards west, then she walks 3 km in a direction 30...
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- If vec(a)=vec(b)+vec(c ), then is it true that |vec(a)|=|vec(b)|+|vec(...
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- Find the value of x for which x( hat i+ hat j+ hat k)is a unit vector...
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- Find a vector of magnitude 5 units, and parallel to the resultant of ...
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- If -> a= hat i+ hat j+ hat k , -> b=2 hat i- hat j+3 hat k and -...
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- Show that the points A(1, -2, -8), B(5, 0, -2) and C(11, 3, 7) are col...
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- Find the position vector of a point R which divides the line joinin...
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- The two adjacent sides of a parallelogram are 2 hat i-4 hat j+5 hat k ...
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- Show that the direction cosines of a vector equally inclined to the a...
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- Let -> a= hat i+4 hat j+2 hat k , -> b=3 hat i-2 hat j+7 hat k and...
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- The scalar product of the vector hat i+ hat j+ hat kwith a unit vect...
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- If vec a , vec b , vec c are mutually perpenedicular vectors of eq...
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- Prove that ( -> a+ -> b)dot( -> a+ -> c)| -> a|^2+| -> b|^2 , if and o...
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- If theta is the angle between two vectors vec a\ a n d\ vec b ,\ t h...
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- If vec a\ a n d\ vec b be two unit vectors and theta is the angle be...
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- Write the value of hat(i).(hat(j)xxhat(k))+hat(j).(hat(i)xxhat(k))+ha...
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- If is the angle between any two vectors -> a and -> b , then ...
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