If c -160- -8594-is perpendicular to both a -160- -8594-and -160-b -160- -8594- then prove that it is perpendicular to both a -160- -8594-b -160- -8594-and -160-a -160- -8594-b -160- -8594-

Given #160;that #160;c #8594; #160;is #160;perpendicular #160;to #160;both #160; #160;a #8594; #160;and #160; #160;b #8594;. #8658 ...

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Chain Rule of Differentiation

If c #160; ...

Question

If $\vec{c}$ is perpendicular to both $\vec{a} and \vec{b}$ , then prove that it is perpendicular to both $\vec{a} + \vec{b} and \vec{a} - \vec{b}$ .

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Solution

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\vec{c}

\vec{a} and \vec{b}

\vec{a} + \vec{b} and \vec{a} - \vec{b}

| a | = 2, | b | = 3, | c | = 4

(b, c) = \frac{2 π}{3}

| [a b c] |

a = λ (\to i + \to j - \to k), b = μ . (\to i - \to j + \to k),

c

a

a

b

d

a

c

\to a =^i +^j -^k,

\to b =^i -^j +^k

\to c

\to a

\to a

\to b,

\to a

\to c

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