Question Solved1 Answer please calculate 10 & 11, thank u. 10. Solve for \( a \) if \( \vec{u}=(-12,6, a) \) and \( \vec{v}=(4,-2,4) \) are: (2 marks) a) Perpendicular b) Parallel 11. A small plane is travelling at \( 175 \mathrm{~km} / \mathrm{h} \) on a heading of \( \mathrm{N} 8^{\circ} \mathrm{E} \) and is subjected to a \( 40 \mathrm{~km} / \mathrm{h} \) wind from N80°E. Determine the ground velocity of the plane. (4 marks)

HABO9E The Asker · Advanced Mathematics
please calculate 10 & 11, thank u.

Transcribed Image Text: 10. Solve for \( a \) if \( \vec{u}=(-12,6, a) \) and \( \vec{v}=(4,-2,4) \) are: (2 marks) a) Perpendicular b) Parallel 11. A small plane is travelling at \( 175 \mathrm{~km} / \mathrm{h} \) on a heading of \( \mathrm{N} 8^{\circ} \mathrm{E} \) and is subjected to a \( 40 \mathrm{~km} / \mathrm{h} \) wind from N80°E. Determine the ground velocity of the plane. (4 marks)
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Transcribed Image Text: 10. Solve for \( a \) if \( \vec{u}=(-12,6, a) \) and \( \vec{v}=(4,-2,4) \) are: (2 marks) a) Perpendicular b) Parallel 11. A small plane is travelling at \( 175 \mathrm{~km} / \mathrm{h} \) on a heading of \( \mathrm{N} 8^{\circ} \mathrm{E} \) and is subjected to a \( 40 \mathrm{~km} / \mathrm{h} \) wind from N80°E. Determine the ground velocity of the plane. (4 marks)
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