Answer:
< 40, 28, 72 >
Explanation:
Given
y = < 2, 6, 8 > and z = < 7, - 2, 6 > , then
6y + 4z
= 6 < 2, 6, 8 > + 4 < 7, - 2, 6 >
Multiply each component by the scalar quantity
= < 6(2), 6(6), 6(8) > + < 4(7), 4(- 2), 4(6) >
= < 12, 36, 48 > + < 28, - 8, 24 >
Add corresponding components
= < 12 + 28, 36 - 8, 48 + 24 >
= < 40, 28, 72 >