If a - -i - 2j - k- b - i - j - 3k and c - -4i - k- then a- b- c - a- b c

The correct option is C 5i + 5j 15k Given, a = i + 2j k, b = i + j 3k, #160;c = 4i k Therefore, a× (b× c) + (a· b)c = (a· c)b = ...

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Standard XII

Mathematics

Arithmetic Progression

If a = -i +...

Question

If $a = - i + 2 j - k, b = i + j - 3 k$ and $c = - 4 i - k$ , then $a \times (b \times c) + (a \cdot b) c$

5 i + 5 j - 15 k

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12 j + 4 k

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- 3 i + 6 j - 3 k

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Solution

The correct option is C $5 i + 5 j - 15 k$
Given, $a = - i + 2 j - k, b = i + j - 3 k, c = - 4 i - k$
Therefore, $a \times (b \times c) + (a \cdot b) c = (a \cdot c) b$
$= (4 + 1) (i + j - 3 k)$
$= 5 i + 5 j - 15 k$

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If a=−i+2j−k,b=i+j−3k and c=−4i−k, then a×(b×c)+(a⋅b)c

The correct option is C 5i+5j−15kGiven, a=−i+2j−k,b=i+j−3k,c=−4i−kTherefore, a×(b×c)+(a⋅b)c=(a⋅c)b=(4+1)(i+j−3k)=5i+5j−15k

If $a = - i + 2 j - k, b = i + j - 3 k$ and $c = - 4 i - k$ , then $a \times (b \times c) + (a \cdot b) c$

The correct option is C $5 i + 5 j - 15 k$
Given, $a = - i + 2 j - k, b = i + j - 3 k, c = - 4 i - k$
Therefore, $a \times (b \times c) + (a \cdot b) c = (a \cdot c) b$
$= (4 + 1) (i + j - 3 k)$
$= 5 i + 5 j - 15 k$