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AIEEE,IIT JEE MATHS-VECTORS AND CALCULUS online Test

If the points (–1, 3, 2), (–4, 2, –2) and  are collinear, then = ____.
– 10
5
– 5
10
If the centroid of triangle whose vertices are (a,1, 3), (– 2, b, –5) and (4, 7, c) be the origin, then the values of a, b, c are ____.
– 2, –8, –2
2, 8, –2
–2, –8, 2
7, –1, 0
Which of the following set of points are non- collinear?
(1, –1, 1), (–1, 1, 1), (0, 0, 1)
(1, 2, 3), (3, 2, 1), (2, 2, 2)
(–2,4, –3), (4, –3, –2), (–3, –2, 4)
(2, 0, –1), (3, 2, –2), (5, 6, –4)
If the co-ordinates of the points  be (1, 2, 3), (4, 5, 7), (– 4, 3, – 6) and (2, 0, 2) respectively, then ____.
None of the above
If  and  are given, then the co-ordinates of P which divides  externally in the ratio, are ____.
(3, 4, –3)
None of the above
If the co-ordinates of A and B be (1, 2, 3) and (7, 8, 7), then the projections of the line segment AB on the co-ordinate axes are ____.
6, 6, 4
4, 6, 4
3, 3, 2
2, 3, 2
/
1/2
2/5
3/2
1/3
/
–2
2
 ____.
Description:

This can be treated as a test which explores your knoledge in calulus- integral and differential both. Some questions are on section formula in vectors

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Kajal Sengupta
Physics teacher of 9th to 12 th grade,A, AS level
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