Operasi Vektor dalam Ruang R3

Tentukan:

a) $3\vec{a} = 3 \begin{pmatrix} 2 \\ 3 \\ -5 \end{pmatrix} = \begin{pmatrix} 6 \\ 9 \\ -15 \end{pmatrix} = 6i + 9j - 15k$

b) $\vec{b} + \vec{c} = \begin{pmatrix} 3 \\ 0 \\ -2 \end{pmatrix} + \begin{pmatrix} 0 \\ 4 \\ 2 \end{pmatrix} = \begin{pmatrix} 3 \\ 4 \\ 0 \end{pmatrix}$

This question includes visual content: The image shows handwritten mathematical calculations on lined paper. There are two parts labeled 'a' and 'b'. Part 'a' shows the scalar multiplication of 3 with a column vector [2, 3, -5]. The result is shown as a column vector [6, 9, -15], then converted to unit vector notation 6i + 9j - 15k. Part 'b' shows the addition of two column vectors: [3, 0, -2] and [0, 4, 2], resulting in the column vector [3, 4, 0]. A fly is visible on the paper between the calculations.