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