Find a dot b given that ...(please see description)? Thanks

Question

Find a dot b given that ...(please see description)? Thanks

Suppose $- - \to OA = a$ $vec"OA"=a$ , $- - \to OB = b$ $vec"OB"=b$ , $| a | = 3$ $|a|=3$ , $| b | = \sqrt{7}$ $|b|=sqrt7$ and $a \times b = i + 2 j - 3 k$ $atimesb= i +2j-3k$
Find $a \cdot b$ $a*b$

1 Answer

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Answer 1 · 2017-06-26T11:40:24

$\pm 7 .$ $+-7.$

Explanation:

We know that,

${∣ ∣ ∣ \to a \cdot \to b ∣ ∣ ∣}^{2} + {∣ ∣ ∣ \to a \times \to b ∣ ∣ ∣}^{2} = {∣ ∣ \to a ∣ ∣}^{2} {∣ ∣ ∣ \to b ∣ ∣ ∣}^{2} .$ $|veca*vecb|^2+|vecaxxvecb|^2=|veca|^2|vecb|^2.$

$:. |veca*vecb|^2+{sqrt(1^1+2^2+(-3)^2)}^=3^2(sqrt7)^2.$

$:. |veca*vecb|^2+14=63.$

$:. |veca*vecb|^2=49.$

$rArr veca*vecb=+-7.$

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Find a dot b given that ...(please see description)? Thanks

Suppose $- - \to OA = a$ $vec"OA"=a$ , $- - \to OB = b$ $vec"OB"=b$ , $| a | = 3$ $|a|=3$ , $| b | = \sqrt{7}$ $|b|=sqrt7$ and $a \times b = i + 2 j - 3 k$ $atimesb= i +2j-3k$
Find $a \cdot b$ $a*b$

1 Answer

Explanation:

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Humanities

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Find a dot b given that ...(please see description)? Thanks

Suppose vec"OA"=a−−→OA=avec"OA"=a, vec"OB"=b−−→OB=bvec"OB"=b, |a|=3|a|=3|a|=3, |b|=sqrt7|b|=√7|b|=sqrt7 and atimesb= i +2j-3ka×b=i+2j−3katimesb= i +2j-3k Find a*ba⋅ba*b

1 Answer

Explanation:

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Suppose $- - \to OA = a$ $vec"OA"=a$ , $- - \to OB = b$ $vec"OB"=b$ , $| a | = 3$ $|a|=3$ , $| b | = \sqrt{7}$ $|b|=sqrt7$ and $a \times b = i + 2 j - 3 k$ $atimesb= i +2j-3k$
Find $a \cdot b$ $a*b$