If a - b - 2-a - b - 2-144 and a -4- then b - is equal to

If #160;given #160;a #8594; #215;b #8594;2+a #8594;.b #8594;2=144 #160;and #160;a #8594;=4By #160;lagrange's #160;identity,a #8594; ...

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Expansion of (x+a)(x+b)

If a →× b → 2...

Question

$If {|\vec{a} \times \vec{b}|}^{2} + {|\vec{a} \cdot \vec{b}|}^{2} = 144 and |\vec{a}| = 4, then |\vec{b}|$ is equal to ____________.

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| \to a \times \to b |^{2} + (\to a \cdot \to b)^{2} = 144

| \to a | = 4

| \to b | =

(¯ ¯ ¯ a \times ¯ ¯ b)^{2} + (¯ ¯ ¯ a \cdot ¯ ¯ b)^{2} = 144

| a | = 4

| b |

| \to a \times \to b | = 4

| \to a \cdot \to b | = 2

| \to a |^{2} | \to b |^{2}

{|\vec{a} \times \vec{b}|}^{2} + {(\vec{a} . \vec{b})}^{2} = 144

|\vec{a}| = 4,

|\vec{b}|

If | \to a \times \to b |^{2} + | \to a \cdot \to b |^{2} = 144

| \to a | = 4

| \to b |

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