Diketahui |a|= 3 vektor a tegak lurus terhadap vektor b , a.(a+b)=.... Question from @Emerson12

March 2019 2 21 Report

Diketahui |a|= 3 vektor a tegak lurus terhadap vektor b , a.(a+b)=

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$\displaysyle \vec{a}\cdot(\vec{a}+\vec{b})=\vec{a}\cdot\vec{a}+\vec{a}\cdot\vec{b}\\\vec{a}\cdot(\vec{a}+\vec{b})=|\vec{a}||\vec{a}|\cos\alpha+|\vec{a}|\vec{b}|\cos\beta\\\vec{a}\cdot(\vec{a}+\vec{b})=3\cdot3\cos0+3|\vec{b}|\cos90\\\vec{a}\cdot(\vec{a}+\vec{b})=9\cdot1+0\\\boxed{\boxed{\vec{a}\cdot(\vec{a}+\vec{b})=9}}$

2 votes Thanks 3

18Navillera

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A . (a + b)
= |a| . |a| cos 0° + |a| . |b| cos 90°
= 3 . 3 . 1 + 3 . |b| . 0
= 9

1 votes Thanks 2

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