Find the equation of the line in vector and in cartesian form that passes through the point with...

Question From - NCERT Maths Class 12 Chapter 11 EXERCISE 11.2 Question – 5 THREE DIMENSIONAL GEOMETRY CBSE, RBSE, UP, MP, BIHAR BOARD

QUESTION TEXT:-
Find the equation of the line in vector and in cartesian form that passes through the point with position vector `2 hat i- hat j+4 hat k` and is in the direction ` hat i+2 hat j- hat k` .

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Related Questions & Solutions:

1. Show that the three lines with direction cosines `(12)/(13),(-3)/(13),(-4)/(13),4/(13),(12)/(13),3/(13),3/(13),(-4)/(13),(12)/(13)` are mutually perpendicular....

2. Show that the line through the points `(1, 1, 2), (3, 4, 2)` is perpendicular to the line through the points (0, 3, 2) and (3, 5, 6)....

3. Show that the line through the points `(4, 7, 8), (2, 3, 4)` is parallel to the line through the points `( 1, 2, 1)` ,`(1, 2, 5)` ....

4. Find the equation of the line which passes through the point (1, 2, 3) and is parallel to the vector `3 hat i+2 hat j-2 hat k` ....

5. Find the cartesian equation of the line which passes through the point `(2,4,5)` and parallel to the line given by `(x+3)/3=(y-4)/5=(z+8)/6` ....

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