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The direction ratios of a vector perpend...

The direction ratios of a vector perpendicular to the two lines whose direction ratios are 1, 3, 2 and -1, 1, 2 are

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Find the direction ratios of a vector perpendicular to the two lines whose direction ratios are -2, 1, -1 and -3, -4, 1 .

The direction ratios of vector perpendicular to the two lines whose direction ratios are -2, 1, -1 and -3, -4 , 1 are

The direction ratios of a line which is perpendicular to the two lines whose direction ratios are 3, -2, 4 and 1, 3, -2 is

The direction ratios of a line which is perpendicular to the two lines whose direction ratios are 3, -2, 1 and 2, 4, -2 is

Find the direction cosines of the line perpendicular to the lines whose direction ratios are -2, 1, -1 and -3, -4,1 .

A points P(1,2,3) is one vertex of a cuboid formed by the coordinate planes and the planes passing through P and parallel to the coordinate planes. The direction ratios of the line perpendicular to the lines with direction ratios lt1,-2,2gt and lt0,2,1gt are

The direction cosines of a line which is perpendicular to both the lines whose direction ratios are 1,-1,0 and 2,-1,1 are

The direction cosines of the line which is perpendicular to the lines with direction ratios -1, 2, 2 and 0, 2, 1 are

Direction ratios of the line which is perpendicular to the lines with direction ratios (-1,2,2) and (0,2,1) are

NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-VECTOR AND THREE DIMENSIONAL GEOMETRY
  1. If bar(c) = 3 bar(a) - 2 bar(b) then prove that [(bar(a),bar(b),bar(c...

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  2. If |bar(a).bar(b)| = |bar(a) xx bar(b)| & bar(a). bar(b) lt 0, then fi...

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  3. The direction ratios of a vector perpendicular to the two lines whose ...

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  4. If bar(a), bar(b) and bar(c) are position vectors of the points A, B, ...

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  5. If bar(a) and bar(b) are two vectors perpendicular each other, prove t...

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  6. Find the position vector of point R which divides the line joining the...

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  7. Find a unit vector perpendicular to the vectors hat(j) + 2 hat(k) & ha...

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  8. If two of the vertices of the triangle are A(3, 1, 4) and B(-4, 5, -3)...

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  9. Find the centroid of tetrahedron with vertices K(5, -7, 0), L(1, 5, 3)...

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  10. If a line has the direction ratios 4, -12, 18, then its direction cos...

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  11. Show that the points A(2, -1, 0) B(-3, 0, 4), C(-1, -1, 4) and D(0, -5...

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  12. Using properties of scalar triple product, prove that [(bar(a) + bar(b...

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  13. The direction ratios of AB are -2,2,1. If A -= (4,1,5) and l(AB) = 6 u...

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  14. If G(a,2,-1) is the centroid of the triangle with vertices P(1,3,2),Q(...

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  15. If G(r, (-4)/(3), (1)/(3)) is centroid of the triangle having vertices...

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  16. Prove that an angle inscribed in a semi-circle is a right angle usi...

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  17. Prove using vectors: Medians of a triangle are concurrent.

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  18. Show that the perpendicular bisectors of the sides of a triangle are c...

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  19. Express -hat(i)-3hat(j)+4hat(k) as the linear combination of the vecto...

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  20. If Q be the foot of perpendicular from P(2, 4, 3) on the line joining ...

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