Let A 1 → = 3 , A 2 → = 5 and A 1 → + A 2 → = 5 . The value of 2 A 1 → + 3 A 2 → ∙ 3 A 1 → - 2 A 2 → is:

Question

Let A 1 &#8594; = 3 , A 2 &#8594; = 5 and A 1 &#8594; + A 2 &#8594; = 5 . The value of 2 A 1 &#8594; + 3 A 2 &#8594; &#8729; 3 A 1 &#8594; - 2 A 2 &#8594; is:

Quantrex Academy · Accepted Answer

Correct answer: B. - 118.5

A → 1 + A → 2 = 5 A → 1 + A → 2 2 = 25 A → 1 2 + A → 2 2 + 2 A → 1 A → 2 = 25 9 + 25 + 2 A → 1 ∙ A → 2 = 25 A → 1 . A → 2 = - 9 2 Now, 2 A → 1 + 3 A → 2 ∙ 3 A → 1 - 2 A → 2 = 6 A → 1 2 - 4 A → 1 A → 2 + 9 A → 1 A → 2 - 6 A → 2 2 = 6 . A → 1 2 + 5 A → 1 A → 2 - 6 A → 2 2 = 6 × 9 + 5 - 9 2 - 6 × 25 = 54 - 45 2 - 150 = - 118.5

Let A 1 → = 3 , A 2 → = 5 and A 1 → + A 2 → = 5 . The value of 2 A 1 → + 3 A 2 → ∙ 3 A 1 → - 2 A 2 → is:

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More from Mathematics in Physics

Let A 1 &#8594; = 3 , A 2 &#8594; = 5 and A 1 &#8594; + A 2 &#8594; = 5 . The value of 2 A 1 &#8594; + 3 A 2 &#8594; &#8729; 3 A 1 &#8594; - 2 A 2 &#8594; is:

Options

Correct answer

Step-by-step solution

More from Mathematics in Physics

Let A 1 → = 3 , A 2 → = 5 and A 1 → + A 2 → = 5 . The value of 2 A 1 → + 3 A 2 → ∙ 3 A 1 → - 2 A 2 → is: