Question

Which of the following is equal to - 7/4w expressed as a linear combination of vectors, if W= -1/2i- 3/2j?

Answer 1

`w=-(1)/(2)i-(3)/(2)j`

Therefore, the scalar multiplication of vector -7/4 w is given by

`-(7)/(4)w=-(7)/(4)(-(1)/(2)i-(3)/(2)j)`
`=(7)/(8)i+(21)/(8)j`

Hence, the linear combination is 7/8 i + 21/8 j