Q4 of 177 Page 23

If is a vector and m is a scalar such that m then what are the alternatives for m and ?

Given is a vector and m is a scalar such that


Let then according to the given question





Compare the coefficients of, we get


ma1 = 0 ⇒ m = 0 or a1 = 0


Similarly, mb1 = 0 ⇒ m = 0 or b1 = 0


And, mc1 = 0 ⇒ m = 0 or c1 = 0


From the above three conditions,


m = 0 or a1 = b1 = c1 = 0


⇒ m = 0 or


Hence the alternatives for m and are m = 0 or


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