A - b - a - b - a - - b - 2-a a - 2 b - 2b a -b - 2c a - 2-b - 2d 2 a - 2 b - 2

A #160;a #8594;2b #8594;2We #160;havea #8594; #160;b #8594; #160;a #8594; #215;b #8594; #160;+ #160;a #8594;.b #8594;2=a #8594; ...

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Derivative of One Function w.r.t Another

a → b → a →× ...

Question

$[\vec{a} \vec{b} \vec{a} \times \vec{b}] + {(\vec{a} . \vec{b})}^{2} =$

(a) ${|\vec{a}|}^{2} {|\vec{b}|}^{2}$

(b) ${|\vec{a} + \vec{b}|}^{2}$

(c) ${|\vec{a}|}^{2} + {|\vec{b}|}^{2}$

(d) $2 {|\vec{a}|}^{2} {|\vec{b}|}^{2}$

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(a + b)^{2} + (a - b)^{2}

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{(\vec{a} \times \vec{b})}^{2}

{|\vec{a}|}^{2} + {|\vec{b}|}^{2} - {(\vec{a} \cdot \vec{b})}^{2}

{|\vec{a}|}^{2} {|\vec{b}|}^{2} - {(\vec{a} \cdot \vec{b})}^{2}

{|\vec{a}|}^{2} + {|\vec{b}|}^{2} - 2 (\vec{a} \cdot \vec{b})

{|\vec{a}|}^{2} + {|\vec{b}|}^{2} - \vec{a} \cdot \vec{b}

From the sum of 7a – 2b + 11 and -2a -5, subtract 7a – b + 4.

∣ ∣ ∣ ∣ \begin{matrix} a - b - c & 2 a & 2 a 2 b & b - c - a & 2 b 2 c & 2 c & c - a - b \end{matrix} ∣ ∣ ∣ ∣ =

∣ ∣ ∣ ∣ \begin{matrix} 2 c & 2 c & c - a - b a - b - c & 2 a & 2 a 2 b & b - c - a & 2 b \end{matrix} ∣ ∣ ∣ ∣

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