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A line makes angles 45^@ and 60^@ with t...

A line makes angles `45^@ and 60^@` with the positive direction of the axis of x and y makes with the positive direction of z axis, an angle of:

A

`60^@`

B

`120^@`

C

`60^@ or 120^@`

D

none

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the angles at which the following vectors are inclined to each of...

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  2. Can a vector have direction angles 45^@, 60^@ and 120^@?

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  3. A line makes angles 45^@ and 60^@ with the positive direction of the a...

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  4. If a line makes angles 90^(@),60^(@) and 30^(@) with the positive dire...

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  5. A line passes through the points (6,-7,-1)a n d(2,-3,1)dot Find the ...

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  6. A vector vecr has length 14 and direction numbers <2,6,-3>. Find the d...

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  7. A vector vecv is inclined at equal angles to the positive directions o...

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  8. Show that the line joining the mid points of two sides of a triangle i...

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  9. The Cartesian equations of a line are (x-5)/3 = (y+4)/7 =(z-6)/2. Ve...

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  10. The Cartesian equation of a line is (x+3)/2 = (y-5)/4 = (z+6)/2. Find...

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  11. A line passes through the point with position vector 2hati-hatj+4hatk...

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  12. Find the vector equation for the line through the points A(3,4,-7) and...

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  13. The cartesian equation of a line is 6x - 2 = 3y + 1 = 2z - 2. Find :(a...

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  14. Find the equations of a line through A(1,-1,0) and parallel to the lin...

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  15. The points A(4, 5, 10), B(2, 3, 4) and C(1, 2, -1) are three vertices ...

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  16. Show that the two lines (x-5)/4=(y-7)/4=(z+3)/-5 and (x-8)/7=(y-4)/1=(...

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  17. Show that the lines : (x+1)/3=(y+3)/5=(z+5)/7 and (x-2)/1=(y-4)/3=(z-6...

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  18. Prove that the line through A(0,-1,-1) and B(4,5,1) intersects the lin...

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  19. Show by direction numbers that the points (-2,4,7),(3,-6,-8) and (1,-2...

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  20. Find the equation of the line passing through the points A(-2,4,7), B(...

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