If a, b, c are three non-zero vectors with no two of which are collinear, a + 2b is collinear with c and b + 3c is collinear with a , then | a + 2b + 6c | will be equal to
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The position vectors of points A and B are and .
Then the position vector of point p dividing AB …
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Forces of magnitude 5, 3, 1 units act in the directions
6i + 2j + 3k, 3i - 2j + 6k, 2i - 3j - 6k respectively on a part…
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If are four vectors such that is collinear with and is collinear with then &…
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Two forces F1 and F2 are used to pull a car, which met an accident. The angle between the two forces is θ . Find the va…
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If are three non-coplanar vectors, then
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Find the area bounded by the line y = 3 - x, the
parabola y = x2 - 9 and
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The value of depends on the
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If where n is a positive
integer, then the relation between In and In-1 is
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Evaluate
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then value of k is
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Vertices of the vectors i - 2j + 2k , 2i + j - k and 3i - j + 2k form a triangle. This triangle is
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If the volume of a parallelepiped whose adjacent edges are a = 2i + 3j + 4k,b = i + αj + 2kc = i + 2k + αkis …
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Solve the equation sin2 x - sinx - 2 = 0 for for x on
the interval 0 ≤ x < 2π
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If $\frac{tanx}{2}=\frac{tanx}{3}=\frac{tanx}{5}$ and x + y + z = π, then the
value of tan2x + tan2y + tan2z is
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Find the value of sin 12°sin 48°sin 54°
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If cos x = tan y , cot y = tan z and cot z = tan x, then sinx&nb…
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The value of is
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The value of sin 10°sin 50°sin 70° is
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The expression $\frac{tanA}{1-cotA}+\frac{cotA}{1-tanA}$ can be written as
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Angle of elevation of the top of the tower from 3
points (collinear) A, B and C on a road leading to the
foot of the to…
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