The unit vector parallel to the resultant of the vectors A=4i+ 3 j+6k and B =-i+3 j-8k is 10. If a vector makes angles 45 and 60 with x and y axis respectively then the angle made by it with 11. The rectangular components of a vector lying in xy plane are 1 and p+1. If co.ordinate system is VECTORS CS IA ium is OBJECTIVE PHYSICS IA 2)7 3i-6j+2k 49 9. (si+6j-2k m? turned by 30, They are p & 4 respectively the value of 'p' is 12. If a,B and Y are the angles made by a vector with X, Y and Z- axes then sin a+sin*B+ sin y is 13. A vector when added to the vector B= 3i + 4j yields a resultant vector that is an in the positive 4) 7 2) 2 4) 4 1) 1 y-direction and has magnitude equal to that of B find the magnitude of A 2) 10 3) 5 4) V15 14. Weight W has been suspended from mid point of rope connected between two ends at same level. The rone is no longer horizantal. The tension required to completely make the rope horizantal is 1) 10 2) W/4 3) Zero 4) Infinity 1) W/2 15. Find the component (projection) of (-i + j) in the direction of i 2) 2 3) 1 4) 2 1) -1 in 16. Projection of the vector 2i +3j+2k on the vector i-2i+3k is 3 2) J14 3) J17 4) JiA 1) V14 17. After firing, a bullet is found to move at an angle of 37 to horizontal. Its acceleration is 10m/s downwards. Find the component of acceleration in the direction of the veclocity 37 av10m/s 4) - 5m/s 1) - 6 m/s 2) - 4 m/s 3) - 8 m/s 3 then the vector 4 and cosy: 18. The direction cosines of a vector 4 are cosa = cos= 5/2 v2 5/2 IS 4) i-j+k 1) 4i-j+3k 3) 4i 5j 3k 2) 4i + 5j + 3k 19. If P-i+21+ 6i, its direction cosines are 3 8 4) 1, 2 and 6 6. and 1) 4T 41 1 2) V41 3) and 41 41 41 41 V41 41 AKARU 3. 4.