ASSIGNMENT BASED ON VECTOR & SCALAR PRODUCT

ASSIGNMENT BASED ON VECTOR & SCALAR PRODUC

1. A particle has an initial velocity of 3i + 4j & an acceleration of 0.4i + 0.3j. Its speed after 10 second is

   a) 7「2 units                b) 7 units                c) 8.5 units                 d) 10 units

2. What can be the maximum and minimum values of (A + B) & (A-B)?

   

3. The diagonal of parallelogram are given by the vectors 3i+ j+ 2k & i - 3j + 4k . Find the area of the parallelogram.

   a) 8.66 sq. units            b) 8 sq. units        c) 4.5 sq. units             d) 5 sq. units

4. Find the value of a for which the vectors 3i + 3j + 9k & i + aj + 3k are parallel.

  a) 0                                b) 1                        c) 2                            d) 3

5. Find the area of the triangle determine by the two vectors: A = 3i + 4j & B = -3i + 7j.

 a) 16.5 sq. units             b) 15.5 sq. units       c) 14 sq. units            d) 12.5 sq. units

6. A  force F = 5i +4j N displaces a body through S = 3i + 4j m in 3 seconds. Find the power.

a) 5 W                            b) 6 W                        c) 8 W                       d) 4 W

7.Find the angle between the vectors A = i + j + k & B = -i -j + 2k.

  a) 90                            b) 30                            c) 45                         d) 0

8. Find the unit vector perpendicular to the vectors to the vectors, A = 4i -j +3k & -2i + j -2k.