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| DD Find the value of <5, 6, - 1> · <- 8, 9, 10>. DD |
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| DD If r = <1, 0, - 4>, v = <- 4, - 5, - 8>, w = <7, - 8, 14> then find the value of r · (v + w). DD |
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| DD Find the distance between the points P(8, - 6, - 13) and Q(12, - 10, - 17). DD |
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DD Find the intercept made by the plane x + 3y + 12z = 36 on x-axis.
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DD Find the mid point of the line segment joining the points P (- 3, 6, 7) and Q (4, - 9, 8).
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DD Identify the vector equation of the line passing through the point P0 (4, - 3, 7) in the direction of v = <5, 7, - 10>.
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DD Choose the equation for the sphere with (5, - 8, - 10) as its center and radius 11 units.
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| DD Choose the parametric form of the line passing through the point P0 (4, - 5, 0), in the direction of v = <4, 0, - 8>. DD |
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| DD What is the x-intercept of the plane 6x + 9y + 12z = 72? DD |
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| DD Find the y - intercept of the plane 2x + 4y + 6z = 12. DD |
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| DD Choose the axis on which the point (x, 0, 0) lies. DD |
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| DD Which of the following represents the equation of the xy-plane? DD |
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| DD Choose the first-degree equation of a plane in Cartesian space. DD |
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| DD Choose the formula for the distance between the points P (x1, y1, z1) and Q (x2, y2, z2) in space. DD |
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DD Choose the formula for the mid point M of the line segment PQ with end points P (x1, y1, z1) and Q (x2, y2, z2).
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DD Choose the point at which the co-ordinate planes meet.
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| DD If the point P(x, y, z) is on the sphere with center (h, k, l) and radius r, then which of the following represents the equation of the sphere? DD |
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DD Which is the correct representation of a vector v = v1 i + v2 j + v3 k?
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DD If two vectors represented by v = < v1, v2, v3> and w = < w1, w2, w3> are equal, then which of the following is correct?
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| DD Find the distance between the points P(8, - 8, - 14) and Q(10, - 10, - 16). DD |
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DD Find the intercept made by the plane x + 4y + 8z = 32 on x-axis.
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DD Find the mid point of the line segment joining the points P (- 2, 5, 6) and Q (3, - 8, 7).
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| DD If r = <3, 0, - 6>, v = <- 4, - 5, - 8>, w = <7, - 6, 10> then find the value of r · (v + w). DD |
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DD Identify the vector equation of the line passing through the point P0 (5, - 3, 8) in the direction of v = <4, 6, - 9>.
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| DD Choose the plane, which is formed by joining the points (3, 0, 0) , (0, 5, 0) and (0, 0, 4). DD |
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DD Name the triangle formed by the points A (- 1, 2, 4), B (0, 6, - 3) and C (2, - 4, 1).
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DD Choose the equation for the sphere with (4, - 5, - 7) as its center and radius 10 units.
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DD Choose the vector equation of a line l, which is passing through the point P0 (x0, y0, z0) in the direction of a non-zero vector v = <a, b, c>.
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| DD What is the x-intercept of the plane 3x + 6y + 9z = 18? DD |
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| DD Find the y - intercept of the plane 4x + 6y + 8z = 48. DD |
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| DD Which of the following represents the parametric equations of a line l passing through the point P0 (x0, y0, z0) in the direction of a non-zero vector v = <a, b, c>? DD |
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| DD Choose the parametric form of the line passing through the point P0 (2, - 3, 0), in the direction of v = <3, 0, - 4>. DD |
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| DD Choose the vector equation of the line through the distinct points P (x1, y1, z1) and Q (x2, y2, z2). DD |
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DD Choose the co-ordinates of a unit vector along positive x - axis in space.
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