Three non-zero non-collinear vectors a, ...

Three non-zero non-collinear vectors a, b, c are such that a + 3b is collinear with c, while 3b + 2c is collinear with a. Then a + 3b + 2c =

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i) bar(a), bar(b), bar(c) are pairwise non zero and non collinear vectors. If bar(a)+bar(b) is collinear with bar(c) and bar(b)+bar(c) is collinear with bar(a) then find the vector bar(a)+bar(b)+bar(c) . ii) If bar(a)+bar(b)+bar(c)=alphabar(d), bar(b)+bar(c)+bar(d)=betabar(a) and bar(a), bar(b), bar(c) are non coplanar vectors, then show that bar(a)+bar(b)+bar(c)+bar(d)=bar(0) .

If a, b, c are non-zero , non-collinear vectors and a xx b = bxx c = cxxa , then a + b+ c =

bar(a), bar(b), bar(c) are non-zero vectors and no two of them are collinear. If bar(a)+2bar(b) is collinear with bar(c) and bar(b)+3bar(c) is collinear with bar(a) . Then find bar(a)+2bar(b)+6bar(c) .

If the vector a = 2i + 3j + 6k and b are collinear and |b| = 21, then b =

DIPTI PUBLICATION ( AP EAMET)-ADDITION OF VECTORS -EXERCISE 1

If a, b are noncollinear vectors and A = (x + 4y) a + (2x + y + 1)b, B...
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Let a, b and c be three non zero vectors, no two of which are collinea...
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Three non-zero non-collinear vectors a, b, c are such that a + 3b is c...
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If a, b and c are non-coplanar vectors and if d is such that d = (1)/(...
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If the vectors 2i + 3j, 5i + 6j, 8i + lambda j have their initial poin...
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The length of the line segment joining the points 2i - 2j + 3k, 5i + 2...
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If the position vectors of A and B are 3i - 2j + k and 2i + 4j - 3k th...
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The distance between the points (5, 3, 1), (3, 2, -1) is
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The distance between the points i + 6j + 7k, -3i + 4j + 3k is
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If a = 2i + 5j + 6k, b = -2i + 3j + 2k then the magnitude of a - b is
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If a = 3i - 2j + k, b = 2i - 4j - 3k, c = -i + 2j + 2k then a + b + c ...
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If a = i - j + 2k, b = 2i + 3j + k, c = i - k, then magnitude of a + 2...
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If a = i + j + k, b = 2i + 3j, c = 3i + 5j - 3k and d = k + j, then th...
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If the position vectors of A, B are 2i - 9j - 4k, 6i - 3j + 8k then th...
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If the position vectors of A = (2, 3, 5), B = (1, 1, 7) then the unit ...
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If a = 3i - 2j + k, b = -i + j + k then the unit vector parallel to th...
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If a = 3i - 2j + k and b = i + 2j + 5k, then the unit vector along a -...
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If a = i + j - 2k, b = -i + 2j + k, c = i - 2j + 2k, then a unit vecto...
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If a = i + j, b = j + k and c = i + k then a unit vector in the direct...
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If lambda (2i - 4j + 4k) is a unit vector then lambda =
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