Question

An angle between vectors p and has a measure of 120°. If P = 8 and [r] = 8,
calculate p(p-r).​

Answer 1

Step-by-step explanation:

$\huge\fbox\pink{A}\fbox\blue{n}\fbox\purple{S}\fbox\green{w}\fbox\red{E}\fbox\orange{r}$

From the given information we have data as follows :

• Angle between vector p and r is 120°
• Measure of p is 8
• Measure of r is 8

We have to find the value of p × (p - r)

${\bold{\bf{\underline{\green{Consider \: the \: given \: equation}}}}}$

${\large{\sf{➠ \: \: \: \: p \: × \: (p \: - \: r)}}}$

${\large{\sf{➠ \: \: \: \: (p \: × \: p) \: - \: (p \: - \: r)}}}$

${\large{\sf{➠ \: \: \: \: 0 \: - \: (p \: × \: r)}}}$

${\large{\sf{➠ \: \: \: \: -|p| \: × \: |r| \: × \: sin \: \theta}}}$

${\large{\sf{➠ \: \: \: \: -(8 \: × \: 8 \: × \: sin \: 120°)}}}$

${\large{\sf{➠ \: \: \: \: -64 \: × \: \frac{√3}{2}}}}$

${\large{\sf{➠ \: \: \: \: -32 \: × \: √3}}}$

${\large{\sf{➠ \: \: \: \: -32 \: √3}}}$

$\\ \\ {\large{\sf{\fbox{\underline{\purple{♱ Therefore, the value of p (p - r) is -32√3}}}}}}</p><p>$

Answer 2

Answer:

Step-by-step explanation:

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