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Compute the maximum value of $a + 2b + 3c$
Let $a, b, c \in \mathbb{R}$ such that $a^2 + b^2 + c^2 = 2$. Compute the maximum value of $a + 2b + 3c$.
I have been solving similar problems using Cauchy-Schwarz. However, I do not know how to ...
user343705
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If $a$ and $b$ are vectors, such that $\|{a}\| = 7$ and $\|{b}\| = 11$, then find the smallest possible value of $\|{a} + b\|$.
If $a$ and $b$ are vectors, such that $\|{a}\| = 7$ and $\|{b}\| = 11$, then find the smallest possible value of $\|{a} + b\|$.
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Let $x$ and $y$ be real numbers such that $x^2 + y^2 = 1$. Find the maximum value of $2x - 5y$.
Let $x$ and $y$ be real numbers such that $x^2 + y^2 = 1$. Find the maximum value of $2x - 5y$.
I do know how to solve this problem using trigonometry, however I need to solve it by using vectors. ...
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