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Write down a unit vector in XY-plane, ma...

Write down a unit vector in XY-plane, making an angle of `30^o` with the positive direction of x-axis.

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Write all the unit vectors in XY-plane.

In the following , find the equation of the line which satisfy the given conditions: Intersecting the y-axis at a distance of 2 units above the origin and making an angle of 30^@ with positive direction of the x-axis.

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Find the equation of the straight line bisecting the segment joining the points (5, 3) and (4,4) and making an angle of 45^@ with the positive direction of X-axis.

Find the slope of the line, which makes an angle of 30^@ with the positive direction of y-axis measured anticlockwise.

Find the slope of the line, which makes an angle of 30^@ with the positive direction of y-axis, measured anticlockwise.

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MODERN PUBLICATION-VECTORS-Exercise
  1. Let the vectors veca and vecb be such that |veca| = 3 and |vecb| = sqr...

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  2. Area of a rectangle having vertices A, B, C and D with position vector...

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

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

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

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  6. If veca = vecb + vecc, then is it true that |veca| = |vecb| + |vecc|?...

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  7. Find the value of x for which x(hati + hatj + hatk) is a unit vector.

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

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  9. If veca=hati+hatj+hatk,vecb=2hati-hatj+3hatk,vecc=hati-2hatj+hatk, the...

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

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

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  12. The two adjacent sides of a parallelogram are given by the vectors 2ha...

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

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  14. Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatk and vecc=2hati-hatj+4...

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  15. The scalar product of the vector hati+hatj+hatk with a unit vector alo...

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  16. If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...

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  17. Prove that (veca+vecb) cdot (veca+vecb) = |veca|^2 + |vecb|^2, if and ...

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  18. If theta is the angle between two vectors veca and vecb, then veca c...

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  19. Let veca and vecb be two unit vectors and theta is the angle between t...

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  20. The value of : hati*(hatjxxhatk)+hatj*(hatixxhatk)+hatk*(hatixxhatj) i...

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