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Find the vector equation of a line passi...

Find the vector equation of a line passing through the point with position vector ` hat i-2 hat j-3 hat k` and parallel to the line joining the points with position vectors ` hat i- hat j+4 hat ka n d2 hat i+ hat j+2 hat kdot` Also, find the Cartesian equivalent of this equation.

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Find the vector equation of a line passing through a point with position vector 2 hat i- hat j+ hat k , and parallel to the line joining the points - hat i+4 hat j+ hat ka n d hat i+2 hat j+2 hat kdot Also, find the Cartesian equivalent of this equation.

Find the distance between the points A and B with position vectors hat i- hat j and 2 hat i+ hat j+2 hat kdot

Find the vector equation of a plane passing through a point having position vector 2 hat i- hat j+ hat k and perpendicular to the vector 4 hat i+2 hat j-3 hat kdot

Find the vector equation of the plane passing through the points 3 hat i+4 hat j+2 hat k ,2 hat i-2 hat j- hat ka n d7 hat i+6 hat kdot

Find the vector equation of the plane passing through the points having position vectors hat i+ hat j-2 hat k ,2 i - hat j+ hat ka n d hat i+2 hat j+ hat kdot

Find the angle between the vectors hat i-2 hat j+3 hat k and 3 hat i-2 hat j+ hat kdot

Find the cosine of the angle between the vectors 4 hat i-3 hat j+3 hat k\ a n d\ 2 hat i- hat j- hat kdot

If the points with position vectors 60 hat i+2 hat j , 40 hat i-8 hat j and a hat i-52 hat j are collinear, find the value of adot

Find the vector equation of a line which passes through the point with position vector 2 hat i= hat j+4 hat k and is in the direction of hat i+ hat j-2 hat kdot Also, reduce it to Cartesian form.

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RD SHARMA ENGLISH-STRAIGHT LINE IN SPACE -All Questions
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  9. Find the distance from the point P(3,8,1) to the line (x-3)/3=(y+7)/(...

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  10. Show that the line (x-1)/2=(y-2)/3=(z-3)/4a n d(x-4)/5=(y-1)/2 inters...

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  11. Find the value of lambda so that the following lines are perpendicular...

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  12. Find the foot of the perpendicular from (1,2,-3) to th lin (x+1)/2=(y-...

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  13. Find the length of the perpendicular drawn from the point (5,4,-1) ...

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  14. Find the shortest distance between the lines vec r=(4 hat i- hat j)+l...

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  15. Find the coordinates of the foot of perpendicular drawn from th poi...

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  16. By computing the shortest distance determine whether the following ...

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  17. Find the foot of the perpendicular drawn from the point 2 hat i- ha...

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  18. By computing the shortest distance determine whether the following ...

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  19. Find the foot of the perpendicular from the point (0,2,3) on the line ...

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  20. The Cartesian equations of a line are 6x-2=3y+1=2z-2. Find its directi...

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