Question

The value of `[veca + 2vecb - vecc, veca - vecb, veca - vecb - vecc]` is equal to the box product ______.

Options

• `[(veca, vecb, vecc)]`

• `2[(veca, vecb, vecc)]`

• `3[(veca, vecb, vecc)]`

• `4[(veca, vecb, vecc)]`

Answer 1

The value of `[veca + 2vecb - vecc, veca - vecb, veca - vecb - vecc]` is equal to the box product `underlinebb(3[(veca, vecb, vecc)])`

Explanation:

`[veca + 2vecb - vecc, veca - vecb, veca - vecb - vecc]`

= `|(1, 2, -1),(1, -1, 0),(1, -1, -1)|[(veca, vecb, vecc)]`

R₃→R₂ – R₁

⇒ `|(1, 2, -1),(1, -1, 0),(1, -3, 0)|[(veca, vecb, vecc)]`

= `3[(veca, vecb, vecc)]`