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Click on a 'View Solution' below for other questions:
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| ccc Find the value of <5, 6, - 1> · <- 8, 9, 10>. ccc |
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| ccc Choose the axis on which the point (x, 0, 0) lies. ccc |
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| ccc Which of the following represents the equation of the xy-plane? ccc |
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| ccc Choose the first-degree equation of a plane in Cartesian space. ccc |
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| ccc Choose the formula for the distance between the points P (x1, y1, z1) and Q (x2, y2, z2) in space. ccc |
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ccc 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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| ccc 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? ccc |
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ccc Which is the correct representation of a vector v = v1 i + v2 j + v3 k?
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ccc Choose the point at which the co-ordinate planes meet.
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ccc 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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| ccc Find the value of <5, 6, - 2> · <- 6, 8, 9>. ccc |
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| ccc Find the distance between the points P(8, - 8, - 14) and Q(10, - 10, - 16). ccc |
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ccc Find the intercept made by the plane x + 4y + 8z = 32 on x-axis.
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ccc Find the mid point of the line segment joining the points P (- 2, 5, 6) and Q (3, - 8, 7).
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| ccc If r = <3, 0, - 6>, v = <- 4, - 5, - 8>, w = <7, - 6, 10> then find the value of r · (v + w). ccc |
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ccc 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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| ccc Choose the plane, which is formed by joining the points (3, 0, 0) , (0, 5, 0) and (0, 0, 4). ccc |
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ccc Name the triangle formed by the points A (- 1, 2, 4), B (0, 6, - 3) and C (2, - 4, 1).
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ccc Choose the equation for the sphere with (4, - 5, - 7) as its center and radius 10 units.
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ccc 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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| ccc What is the x-intercept of the plane 3x + 6y + 9z = 18? ccc |
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| ccc Find the y - intercept of the plane 4x + 6y + 8z = 48. ccc |
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| ccc 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>? ccc |
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| ccc Choose the parametric form of the line passing through the point P0 (2, - 3, 0), in the direction of v = <3, 0, - 4>. ccc |
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| ccc If r = <1, 0, - 4>, v = <- 4, - 5, - 8>, w = <7, - 8, 14> then find the value of r · (v + w). ccc |
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| ccc Find the distance between the points P(8, - 6, - 13) and Q(12, - 10, - 17). ccc |
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| ccc Choose the vector equation of the line through the distinct points P (x1, y1, z1) and Q (x2, y2, z2). ccc |
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ccc Find the intercept made by the plane x + 3y + 12z = 36 on x-axis.
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ccc Find the mid point of the line segment joining the points P (- 3, 6, 7) and Q (4, - 9, 8).
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ccc 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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ccc Choose the equation for the sphere with (5, - 8, - 10) as its center and radius 11 units.
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ccc Choose the co-ordinates of a unit vector along positive x - axis in space.
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| ccc Choose the parametric form of the line passing through the point P0 (4, - 5, 0), in the direction of v = <4, 0, - 8>. ccc |
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| ccc What is the x-intercept of the plane 6x + 9y + 12z = 72? ccc |
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| ccc Find the y - intercept of the plane 2x + 4y + 6z = 12. ccc |
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