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What is the cartesian equation of the li...

What is the cartesian equation of the line `vec(r)=(3hat(i) - hat(j) + 4hat(k)) + lambda(hat(i) + 2hat(j) + 3hat(k))` ?

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The correct Answer is:
`(x-3)/(1) = (y+1)/(2) = (z-4)/(3)`
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ARIHANT PUBLICATION-THREE-DIMENSIONAL GEOMETRY-Chapter Practice
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  4. Write the vector equation ofthe line given by (x - 5)/3 = (y + 4)/7 = ...

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  5. Cartesian equation of line AB is (2x-1)/(2) = (4-y)/(7) = (z+1)/(2). W...

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  6. Find the equation of line passing through the point (2, 1, 3) having t...

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  7. Find the equation of a line parallel to Y-axis and passing through the...

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  8. Find the coordinates of the point, where the line passing through (5, ...

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  9. Write the condition for the lines vec(r) = vec(a)(1) + lambda vec(b)(1...

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  10. Find the equation of the plane passing through the point(-1,-1, 2) and...

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  11. Find the equation of the plane passing through the intersection of the...

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  12. Find the vector and cartesian equation of the line passing through the...

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  13. Find the vector equation of the plane determined by the points A(3,-1,...

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  14. Find the coordinates of the point where the line through the points A(...

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  15. Find the point of intersection of the line (x-2)/(1) = (y+2)/(3) = (z-...

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  16. Find the vector and cartesian equations of line passing through the po...

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  17. Find the foot of the perpendicular from (1,6, 3) on the line (x)/(1) =...

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  18. Prove the following by vector method. Measure of the angle between two...

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  19. Find the shortest distance between the lines vec(r) = 6hat(i) + 2hat(j...

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  20. Find the shortest distance between the lines vec(r) = (hat(i) + 2hat(j...

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