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The angle made by the vector 3hati-4hatj...

The angle made by the vector `3hati-4hatj+5hatk` with the Z-axis is

A

`(pi)/(4)`

B

`cos^(-1)((1)/(sqrt(2)))`

C

0

D

`cos^(-1)((3)/(5sqrt(2)))`

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The correct Answer is:
A
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TARGET PUBLICATION-THREE DIMENSIONAL GEOMETRY -Critical Thinking
  1. If O is the origin, O P=3 with direction ratios -1,2,a n d-2, then fin...

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  2. Line with direction ratios 1, 1, 1 is

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  3. The angle made by the vector 3hati-4hatj+5hatk with the Z-axis is

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  4. A line passes through the point (6, -7, -1) and (2, -3, 1). The direct...

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  5. If first two numbers of the direction cosines of a line joining points...

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  6. If the points (2,a,-1),(3,4,b)and(1,-2,3) are collinear, the values of...

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  7. If (1,a,1),(3,-1,2)and(1,a^(2),1) are collinear, then the values of a ...

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  8. Points (-2, 4, 7), (3, -6 -8) and (1, -2, -2) are

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  9. If the angle between the lines whose direction cosines are a,(-2)/(3),...

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  10. The acute angle between the lines having direction ratios 5,4,1 and -3...

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  11. Find the angle between the lines whose direction ratios are: 2,-3,4 ...

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  12. Let theta be the angle between the lines AB and AC, where A, B and C a...

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  13. The direction cosines l, m and n of two lines are connected by the rel...

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  14. Find the angle between the line whose direction cosines are given ...

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  15. The direction cosines of a line equally inclined to three mutually per...

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  16. Find the angle between any two diagonals of a cube.

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  17. The diection cosines of two lines are proportional to (2,3,-6) and (3,...

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  18. If the line joining the points (-2,1,-8) and (a, b, c) is parallel to ...

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  19. If A,B,C,D are (2,3,-1),(3,5,-3),(1,2,3),(3,5,7) respectively, then th...

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  20. Direction ratios of two lines are a ,b ,ca n d1//b c ,1//c a ,1//a ...

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