Question

What isthe angle between a = 5 i - 5 j and b = 5 i -5j?

Answer 1

${\bold{\underline{\underline{Answer:}}}}$

${\bold{\therefore Angle=0°}}$

${\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\underline \bold{Given : } \\ \implies a = 5 \hat{i} - 5 \hat{j} \\ \\ \implies b = 5 \hat{i} - 5 \hat{j} \\ \\ \underline \bold{to \: find : } \\ \implies angle \: between \: \vec{a} \: and \: \vec{b}( \theta )= ?$

• According to given question :

$\bold{Using \: formula \: for \: finding \: angle }\\ \implies cos \theta = \frac{a.b}{ |a| |b| } \\ \\ \implies cos \theta = \frac{(5 \hat{i} - 5 \hat{j})\times (5 \hat{i} - 5 \hat{j})}{ \sqrt{ {5}^{2} + ( - {5})^{2} } \times \sqrt{ {5}^{2} + ( - {5})^{2} } } \\ \\ \implies cos \theta = \frac{5 \times 5 + ( - 5) \times ( - 5)}{ \sqrt{50} \times \sqrt{50} } \\ \\ \implies cos \theta = \frac{25 + 25}{50} \\ \\ \implies cos \theta = \frac{50}{50} \\ \\ \implies cos \theta = 1 \\ \\ \bold{\implies \theta = 0 \degree}$

Answer 2

Answer:

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