Obtain the magnitude of 2A-3B if A=i^+j^-2k ^and B=2i^-j^+k^

2A-3B=2(i^+j^-2k^)-3(2i^-j^+k^)=-4i^+5j^-7k^Magnitude of 2 A-3 B=(-4)2+(5)2+(-7)2=16+25+49=90

Obtain the magnitude of 2A-3B if A=i^+j^-2k ^and B=2i^-j^+k^

2A-3B=2(i^+j^-2k^)-3(2i^-j^+k^)=-4i^+5j^-7k^Magnitude of 2 A-3 B=(-4)2+(5)2+(-7)2=16+25+49=90

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Obtain the magnitude of $2 A - 3 B if A = \hat{i} + \hat{j} - 2 \hat{k} and B = 2 \hat{i} - \hat{j} + \hat{k}$

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$\sqrt{45}$

$\sqrt{90}$

answer is A.

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$2 A - 3 B = 2 (\hat{i} + \hat{j} - 2 \hat{k}) - 3 (2 \hat{i} - \hat{j} + \hat{k}) = - 4 \hat{i} + 5 \hat{j} - 7 \hat{k}$

Magnitude of $2 A - 3 B = \sqrt{(- 4)^{2} + (5)^{2} + (- 7)^{2}} = \sqrt{16 + 25 + 49} = \sqrt{90}$

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Obtain the magnitude of 2A-3B if A=i^+j^-2k ^and B=2i^-j^+k^

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Obtain the magnitude of $2 A - 3 B if A = \hat{i} + \hat{j} - 2 \hat{k} and B = 2 \hat{i} - \hat{j} + \hat{k}$