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Can a vector have direction angles 45...

Can a vector have direction angles `45^0,60^0,120^0`

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The unit vector in XOZ plane and making angles 45^@ and 60^@ respectively with vec(a)=2i+2j-k and vecb=0i+j-k , is

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A line making angles 45^0 and 60^0 with the positive directions of the x and y axes respectively , makes with the positive direction of z-axis an angle of (A) 60^0 (B) 120^0 (C) 60^0 or 120^0 (D) none of these

In an isosceles triangle, if the vertex angle is twice the sum of the base angles, then the measure of vertex angle of the triangle is (a) 100^0 (b) 120^0 (c) 110^0 (d) 130^0

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Angle of a line with the positive direction of the x-axis is theta . The line is rotated about some point on it in anticlockwise direction by angle 45^0 and its slope becomes 3. Find the angle thetadot

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If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2:3, then the measure of the larger angle is (a) 54^0 (b) 120^0 (c) 108^0 (d) 136^0

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RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. Prove that the points hat i- hat j ,4 hat i-3 hat j+ hat k and 2 hat ...

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  2. If vec a=3 hat i- hat j-4 hat k , vec b=2 hat i+4 hat j-3 hat k and ...

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  3. Can a vector have direction angles 45^0,60^0,120^0

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  4. A vector makes an angle of pi/4 with each of x-axis and y-axis F...

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  5. Show that the point A ,B ,C with position vectors vec a-2 vec b...

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  6. If vec A O+ vec O B= vec B O+ vec O C , prove that A , B , C are coll...

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  7. If the points with position vectors 10 hat i+3 hat j ,12 hat i-5 hat...

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  8. Show that the four points A ,B , Ca n dD with position vectors ...

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  9. Find the position vector of a point R which divides the line joining ...

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  10. Five forces vec A B , vec A C , vec A D , vec A E and vec A F act...

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  11. If vec a= hat i+ hat j+ hat k , vec b=4 hat i-2 hat j+3 hat k and ve...

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  12. Answer the following as true or flase: vec a and vec b are collin...

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  13. Find the coordinates of the tip of the position vector which is equ...

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  14. Express vec A B in terms of unit vectors hat i and hat j , wh...

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  15. If the position vectors of the points A(3,4),B(5,-6) and (4,-1) are v...

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  16. A B C D is parallelogram. If the coordinates of A , B , C are (-2,-...

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  17. If the position vector of a point (-4,-3) be vec a , find |a| .

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  18. Find a vector of magnitude 4 units which is parallel to the vector ...

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  19. If the position vector vec a of a point (12 ,n) is such that | vec...

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  20. Show that the sum of three vectors determined by the medians of a t...

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