Chapter 7: Vectors

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MCQ's with answers from chapter 7 Vectors Mathematics book 2 for FSC pre engineering  for Board of Intermediate and Secondary education. Also For Entry Test Preparation for UET, NUST, PIEAS, GIKI, AIR, FAST, WAH University, other engineering Universities. 

Chapter 7.      Vectors

1)            The triangle law for vector addition is equivalent to the

A)      Commutative law
B)      Associative law
C)      Parallelogram law
D)      First law
Answer:                 C


3)            If Cosa, Cosb, Cosc are the directions Cosines of a vector then

A)      Cosa + Cosb + Cos c = 1
B)      Cos2a + Cos2b + Cos2 c = 0
C)      Cos2a + Cos2b + Cos2 c = 1
D)      Cosa + Cosb + Cos c = 0
Answer:                 C

4)            The numbers proportional to the direction cosines of a vector are called

A)      Vector numbers
B)      Scalar numbers
C)      Direction numbers
D)      Rational numbers
Answer:                 C

5)            Two or more vectors are said to be collinear if they are

A)      perpendicular to the same line
B)      parallel to the same line
C)      intersecting the same line
D)      not parallel to the same line
Answer:                 B

6)            Two or more vectors are said to be coplanar if they

A)      are perpendicular to the same plane
B)      are not parallel to the same plane
C)      lie in the same plane
D)      do not lie in the same plane
Answer:                 C





10)          The join of the mid points of the consecutive sides of any quadrilateral is

A)      a square
B)      a rectangle
C)      a parallelogram
D)      none of these
Answer:                 C



6)            If the right bisectors of the two sides of a triangle pass through the origin then the right bisector of the third side will pass through the point

A)      (1, 1)
B)      (1, 2)
C)      (1, 3)
D)      (0, 0)
Answer:                 D

7)            The equation 2x + 3y + 6z = 35 represents

A)      a line
B)      a circle
C)      a plane
D)      a parabola
Answer:                 C


9)            the equation
                (x – 1)2 + (y – 3)2 + (z – 5)2 = 25 represents

A)      a circle
B)      a sphere
C)      a plane
D)      an ellipse
Answer:                 B

10)          The coordinates of the center of the sphere x2 + y2 + z2 = 9 is

A)      (0, 0)
B)      (3, 3, 0)
C)      (0, 0, 0)
D)      (0, 0, 3)
Answer:                 C



12)          The distance from the origin to the plane

A)      7
B)      0
C)      1
D)      2
Answer:                 C

13)          The contact in which the point coordinates are all positive is called

A)      1st octant
B)      2nd  octant
C)      4th octant
D)      8th octant
Answer:                 A

14)          The point (3, 5, 8) lies in the

A)      3rd octant
B)      5th octant
C)      8th octant
D)      1st octant
Answer:                 D

15)          The three coordinate’s planes divide all space into

A)      3 cells
B)      4 cells
C)      8 cells
D)      6 cells
Answer:                 C






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