Vector subtraction do Vector subtraction does not follow associative law i e A B If two vectors have equal magnitude i e A B a

Question

Vector subtraction do Vector subtraction does not follow associative law i e A B If two vectors have equal magnitude i e A B a and 0 is the angle between them then 0 A B a a 2a cos 0 2a sin 2 ution 2 0 Special case If 0 60 then 2a sing a i e B A B a at 0 60 2 If difference of two unit vectors is another unit vector then the angle between them is 60 or If two unit vectors are at angle of 60 then their difference is also a unit vector In physics whenever we want to calculate change in a vector quantity we have to use vector subtraction For example change in velocity Av V V Illustrations strastion 31 The magnitude of pairs of displacement vectors are given Which pairs of displacement vectors cannot be add to give a resultant vector of magnitude 13 cm 1 4 cm 16 cm 2 20 cm 7 cm 3 1 cm 15 cm 4 6 cm 8 cm Resultant of two vectors A and B must satisfy A B R A B Ans 12

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