For what value(s)of a is the vector $\vec { v } = 3 \vec { i } + a \vec { j } + 3 \vec { k }$ parallel to the plane $z = 2 x - 5 y + 2$ ?

Name: For what value(s)of a is the vector $\vec { v } = 3 \vec { i } + a \vec { j } + 3 \vec { k }$ parallel to the plane $z = 2 x - 5 y + 2$ ?
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The Answer of For what value(s)of a is the vector $\vec { v } = 3 \vec { i } + a \vec { j } + 3 \vec { k }$ parallel to the plane $z = 2 x - 5 y + 2$ ?

For What Value(s)of a Is the Vector v⃗=3i⃗+aj⃗+3k⃗\vec { v } = 3 \vec { i } + a \vec { j } + 3 \vec { k }v=3i+aj​+3k

For What Value(s)of a Is the Vector $\vec { v } = 3 \vec { i } + a \vec { j } + 3 \vec { k }$