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WORK SHEET -2 ;PHYSICS CLASS 11


               CHAPTER -4; TOPIC -MOTION IN A PLANE


               SUB TOPIC - SCALAR AND VECTORS

               1. Calculate |a × b| when |a| = 2, |b| = 4 and the angle between a and b is θ = 45◦.


               2. Calculate β for which  the vectors a ,b are collinear to each other when a = i + 2j − k and b = 3i + 3j +β k

               3. If a = 4i+ 2j −k and b = 2i−6 j −3k then calculate a vector that is perpendicular to both a and b.

               4. Calculate the vector a × b when a = 2i + j − k and b = 3i − 6j + 2k .

               5. Calculate the unit vector perpendicular to both a and b when a = 2i − 3j + k and b = 2i + j + 4k.

               6. Calculate the area of the parallelogram having sides as a and b when a = 2i + 3k and b = i + 2j + 4k.


               7. Calculate the vector a . b when a = 2i + j − k and b = 3i − 6j + 2k.

               8. a = 4i + 2j −k and b = 2i−6i−3k then calculate  the angle between the  vectors.

               9. Calculate the component of  vector b  along vector a when a = i + 2j − k and b = 3i + 3j + k.

               10. when a = 2i − 3j + k and b = 2i +α j + 4k,find the value of α,for which two vectors are perpendicular to
               each other.
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