If a = (4, 0, 3) and b = (-2, 1, 5), find |a|, the vector a - b and 2a | Mathematics I 2075

Mathematics I20755 marksNumerical: Vector operationsDot product and cross Product

If $a = (4, 0, 3)$ and $b = (-2, 1, 5)$ , find $|a|$ , the vector $a - b$ and $2a + b$ . [5]

If $a = (4, 0, 3)$ and $b = (-2, 1, 5)$, find $|a|$, the vector $a - b$ and $2a + b$. [5]

$\vec{a} = (4, 0, 3) \qquad \vec{b} = (-2, 1, 5)$ --- $\vec{a} = \sqrt{4^2 + 0^2 + 3^2} = \sqrt{16 + 0 + 9} = \sqrt{25} = 5$ $\boxed{\vec{a} = 5}$ --- $\vec{a} - \vec{b} = (4-(-2),\ 0-1,\ 3-5) = (6,\ -1,\ -2)$ $\boxed{\vec{a} - \vec{b} = (6,\ -1,\ -2)}$ --- $2\vec{a} = (8, 0, 6)$ $$2...

$$\vec{a} = (4, 0, 3) \qquad \vec{b} = (-2, 1, 5)$$ --- $$\vec{a} = \sqrt{4^2 + 0^2 + 3^2} = \sqrt{16 + 0 + 9} = \sqrt{25} = 5$$ $$\boxed{\vec{a} = 5}$$ --- $$\vec{a} - \vec{b} = (4-(-2),\ 0-1,\ 3-5) = (6,\ -1,\ -2)$$ $$\boxed{\vec{a} - \vec{b} = (6,\ -1,\ -2)}$$ --- $$2\vec{a} = (8, 0, 6)$$ $$2...

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If a = (4, 0, 3) and b = (-2, 1, 5), find |a|, the vector a - b and 2a + b.