Show that following points are collinear...

Show that following points are collinear P(4, 5, 2), Q(3, 2, 4), R(5, 8, 0)

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Using determinants show that the following points are collinear: (i) (3, -2), (8, 8) and (5, 2) (ii) (2, 3), (-1, -2) and (5, 8)

Show that the following points are collinear: (i) A(2, -2), B(-3, 8) and C(-1, 4) (ii) A(-5, 1), B(5, 5) and C(10, 7) (iii) A(5, 1), B(1, -1) and C(11, 4) (iv) A(8, 1), B(3, -4) and C(2, -5)

Use determinants to show that the following points are collinear. (i) A(2, 3), B(-1, -2) and C(5, 8) (ii) A(3, 8), B(-4, 2) and C(10, 14) (iii) P(-2, 5), Q(-6, -7) and R(-5, -4)

Show that the following sets of points are collinear.(2,5),(4,6) and (8,8)(b)(1,-1),(2,1) and (4,5)

Using distance formula prove that the following points are collinear: P(0,7,-7),Q(1,4,-5) and R(-1,10,-9)

Points (3, 2, 4), (4,5,2), (5,8, 0) are

Which of the following points will be collinear with the points (-3, 4) and (2, -5) ?

Determine whether the given points are collinear or not: P(1,2),Q(2,8/5),R(3,6/5)

Show that the points (3,4),(-5,16),(5,1) are collinear.

Show that the points P" "(-2," "3," "5) , Q" "(1," "2," "3) and R (7," "0," "-1) are collinear.

NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-VECTOR AND THREE DIMENSIONAL GEOMETRY

If a line makes angle 90o, 60oand 30owith the positive direction of ...
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The vector bar(a) is directed due north and |bar(a)| = 24. The vector ...
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Show that following points are collinear P(4, 5, 2), Q(3, 2, 4), R(5, ...
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If a vector has direction angles 45^(@) and 60^(@) find the third dire...
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If bar(c) = 3 bar(a) - 2 bar(b) then prove that [(bar(a),bar(b),bar(c...
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If |bar(a).bar(b)| = |bar(a) xx bar(b)| & bar(a). bar(b) lt 0, then fi...
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The direction ratios of a vector perpendicular to the two lines whose ...
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If bar(a), bar(b) and bar(c) are position vectors of the points A, B, ...
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If bar(a) and bar(b) are two vectors perpendicular each other, prove t...
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Find the position vector of point R which divides the line joining the...
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Find a unit vector perpendicular to the vectors hat(j) + 2 hat(k) & ha...
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If two of the vertices of the triangle are A(3, 1, 4) and B(-4, 5, -3)...
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Find the centroid of tetrahedron with vertices K(5, -7, 0), L(1, 5, 3)...
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If a line has the direction ratios 4, -12, 18, then its direction cos...
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Show that the points A(2, -1, 0) B(-3, 0, 4), C(-1, -1, 4) and D(0, -5...
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Using properties of scalar triple product, prove that [(bar(a) + bar(b...
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The direction ratios of AB are -2,2,1. If A -= (4,1,5) and l(AB) = 6 u...
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If G(a,2,-1) is the centroid of the triangle with vertices P(1,3,2),Q(...
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If G(r, (-4)/(3), (1)/(3)) is centroid of the triangle having vertices...
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Prove that an angle inscribed in a semi-circle is a right angle usi...
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