Let vector A = 10 i- 8j and Vector B = 15i-12j

Question

A) it is correct to say B = kA

B) Option A is not correct

C)It is correct to say B/A=k

D) option c is not correct

Answer 1

\(A = 10\hat i - 8 \hat j = 2(5\hat i - 4\hat j)\)

\(B = 15\hat i - 12\hat j = 3 (5\hat i - 4 \hat j)= \frac32 (2(5\hat i - 4\hat j))\)

\(= \frac32 A\)

Hence, B = kA, where k = \(\frac32\).