If veca=(4,0,3) and vecb=(-2,1,5), find |veca|, 3vecb, veca+vecb and 2 | Mathematics I 2080

Mathematics I208010 marksNumerical: vector operations and limitsIntroduction

If $\vec{a}=(4,0,3)$ and $\vec{b}=(-2,1,5)$ , find $|\vec{a}|$ , $3\vec{b}$ , $\vec{a}+\vec{b}$ and $2\vec{a}+5\vec{b}$ .

Estimate the value of $\lim_{x \to 0} \frac{\sqrt{x^2 + 9} - 3}{x^2}$ [5+5]

If $\vec{a}=(4,0,3)$ and $\vec{b}=(-2,1,5)$, find $|\vec{a}|$, $3\vec{b}$, $\vec{a}+\vec{b}$ and $2\vec{a}+5\vec{b}$.

Estimate the value of $\lim_{x \to 0} \frac{\sqrt{x^2 + 9} - 3}{x^2}$ [5+5]

Given data: - $\vec{a} = (4, 0, 3)$ - $\vec{b} = (-2, 1, 5)$ - Limit: $\displaystyle \lim{x \to 0} \frac{\sqrt{x^2 + 9} - 3}{x^2}$ Required: $\vec{a}$ , $3\vec{b}$ , $\vec{a}+\vec{b}$ , $2\vec{a}+5\vec{b}$ , and the limit value. All data present. --- (a) Vector Operations $$\vec{a} = \sqrt{4^2 + 0^2 ...

Given data: - $\vec{a} = (4, 0, 3)$ - $\vec{b} = (-2, 1, 5)$ - Limit: $\displaystyle \lim{x \to 0} \frac{\sqrt{x^2 + 9} - 3}{x^2}$ Required: $\vec{a}$, $3\vec{b}$, $\vec{a}+\vec{b}$, $2\vec{a}+5\vec{b}$, and the limit value. All data present. --- (a) Vector Operations $$\vec{a} = \sqrt{4^2 + 0^2 ...

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If veca=(4,0,3) and vecb=(-2,1,5), find |veca|, 3vecb, veca+vecb and 2veca+5vecb. Estimate the value of limx to 0 fracsqrtx2 + 9 - 3x2 [5+5]