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Mathematical Tools - Vectors - 27 decContact Number: 9667591930 / 8527521718
Mathematical Tools - Vectors - 27 decContact Number: 9667591930 / 8527521718
1.

Two forces A and B have a resultant R1. If B is doubled, the new resultant R2 is perpendicular to A. Then
1. R1=A
2. R1=B
3. R2=A
4. R2=B



2.

The value of unit vector in the direction of vector A=5 , is -
1. i^
2. j^
3. i^+j^/13
4. 5i^-12j^/13



3.

The linear velocity of a rotating body is given by v=ω×r, where ω is the angular velocity and r is the radius vector. The angular velocity of a body, ω=i^-2j^+2k^ and their radius vector is  r=4j^-3k^, then value of |v| will be:
1. 29 units
2. 31 units
3. 37 units
4. 41 units



4.

The vector having a magnitude of 10 and perpendicular to the vector 3i^-4j^ is- 
1. 4i^-3j^
2. 52 i^-52 j^
3. 8i^+6j^
4.  8i^-6j^



5.

If a, b and c are three non-zero vectors such that a+b+c=0, then the value of a.b+b.c+c.a will be:

1. Less than zero 2. equal to zero
3. greater than zero 4. 3


6.

The angle made by the vector A = 3i^ + 3j^ + 2k^ with y-axis is:
1.  sin-1314
2.  sin-174
3.  cos-143
4.  cos-135



7.

\overrightarrow A and \overrightarrow {B} are two vectors given by \overrightarrow {A}= 2\hat i + 3\hat j and \overrightarrow {B}= \hat i + \hat j. The component of \overrightarrow A parallel to \overrightarrow B is:
1. \frac{(2\hat i -\hat j)}{2}
2. \frac{5}{2}(\hat i - \hat j)
3. \frac{5}{2}(\hat i + \hat j)
4. \frac{(3\hat i -2\hat j)}{2}



8.

If A=4i^-3j^ and B=6i^+8j^ then magnitude and direction of A+B will be
1. 5, tan-1(3/4)
2. 55, tan-1(1/2)
3. 10, tan-1(5)
4. 25, tan-1(3/4)



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