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Vector Algebra ...

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  • Question 1
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    If C is the mid - point of AB and P is any point outside AB, then

  • Question 2
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    Let a, b and c be three non - zero vectors such that no two of these are collinear. If the vector a + 2b is collinear with C, then a + 2b + 6c is equals to

  • Question 3
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  • Question 4
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    If a = (2, 1, –1), b = (1, –1, 0), c = (5, –1, 1), then unit vector parallel to a + b – c but in opposite direction is

  • Question 5
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    In a quadrilateral ABCD, the point P divides DC in the ration 1 : 2 and Q is the mid - point of AC. If AB + 2AD + BC – 2DC = kPQ, then k is equal to

  • Question 6
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  • Question 7
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    A, B, C, D, E, and F in that order, are the vertices of a regular hexagon with centre origin. If the position vectors of the vertices A and B are respectively,

  • Question 8
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  • Question 9
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  • Question 10
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    The non - zero vectors a, b and c are related by a = 8 b and c = – 7b. Then, the angle between a and c is

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