Vector & 3D Geometry (II)
Quiz
•
Mathematics
•
12th Grade
•
Medium
Veda Edutech
Used 5+ times
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15 questions
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1.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
The direction cosines of the x axis are given by
(1,0,0)
(0,0,1)
(2,0,1
(0,1,0)
2.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Any point on the x axis have coordinates of the form
(a,0,0)
(0,a,a)
(0,O,a)
(0,a,0)
3.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
A line is equally inclined to the x,y and z axis ,the direction cosines of the line are given by
1,1,1
1,2,1
1/2,1/2,1/2
4.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Perpendicular drawn from a point (6,5,4) to the x axis meets it at the point
(6,0,4)
(4,0,0
(6,0,1)
(6,0,0)
5.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
The point ( -1 , 2 , -3 ) lies in the :
(A). 7th Octant
(B). 5th Octant
(C). 6th Octant
(D). 8th Octant
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Find the equation of the line which passes through the point (1, 2, and 3) and is parallel to the vector 3î+2ĵ -2k̂.
Answer:-
r = î +2ĵ +3k̂+λ (3î +2ĵ -2k̂).
r = î +2ĵ +3k̂+λ (3î -2ĵ -2k̂).
r = î +2ĵ -3k̂+λ (3î +2ĵ -2k̂).
r = î +2ĵ +3k̂+λ (3î +2ĵ -3k̂).
7.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Find the equation of the line in vector and in Cartesian form that passes through the point with position vector 2î-ĵ +4k̂ and is in the direction î +2ĵ -k̂?
r =2î -ĵ +4k̂+ λ(2î +2ĵ -k̂)
r =2î -ĵ +4k̂+ λ(î +2ĵ -k̂)
r =2î +ĵ +4k̂+ λ(î +2ĵ -k̂)
r =2î -2ĵ +4k̂+ λ(î +2ĵ -k̂)
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