For any two non-zero vectors- write the value of a -b - 2-a -b - 2 a - 2-b - 2-

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Sum of n Terms

For any two n...

Question

For any two non-zero vectors, write the value of $\frac{{|\vec{a} + \vec{b}|}^{2} + {|\vec{a} - \vec{b}|}^{2}}{{|\vec{a}|}^{2} + {|\vec{b}|}^{2}} .$

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\vec{a} and \vec{b}

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

\vec{a} and \vec{b}

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

¯ a a n d ¯ b

| \to a | = 2, \to a . \to b = 1

\to a a n d \to b i s \frac{π}{3} . I f \to r

\to r . \to a = 2, \to r . \to b = 8, (\to r + 2 \to a - 10 \to b) . (\to a \times \to b) = 6 a n d \to r + 2 \to a - 10 \to b = λ (\to a \times \to b) t h e n λ =

\to a

\to b

\to a

\to a . \to b

\to a

\to b

\frac{π}{3}

\to r

\to r

\to a = 2, \to r . \to b

(\to r + 2 \to a - 10) . (\to a \times \to b)

\to r + 2 \to a - 10 \to b = | (\to a \times \to b) |

[\to a \to b \to a]

\to a

\to b

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