Question

Help with the 2 question .. 20 points

Answer 1

see explanation

Explanation:

c = a - 2b

= < 4, 5, 6 > - 2 < 1, 2, 3 > ← multiply each component by 2

= < 4, 5, 6 > - < 2, 4, 6 > ← subtract corresponding components

= < 4 - 2, 5 - 4, 6 - 6 > = < 2, 1, 0 >

| c | =
`√(2^2+1^2+0^2)` =
`√(4+1+0)` =
`√(5)`

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sum the product of corresponding components

u.v = (3 × 2) + (- 2 × - 1) + (4 × - 6) = 6 + 2 - 24 = - 16