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Vector ?⃗ has a magnitude of 14.1 and is at an angle of 40.5∘ counterclockwise from...

Vector ?⃗ has a magnitude of 14.1 and is at an angle of 40.5∘ counterclockwise from the +?‑axis. Vector ?⃗ has a magnitude of 24.7 and is −80.3∘ from the +?‑axis. Resolve ?⃗ and ?⃗ into components, and express in ??? unit vector form, ?⃗=???+??? ?⃗=???+???

where ??, ??, ??, and ?? are the calculated values of the ?‑ and ?‑components of vectors ?⃗ and ?⃗, respectively.

?⃗=

?⃗=

Calculate the dot product between ?⃗ and ?⃗.

?⃗∙?⃗=

Calculate the angle ? between ?⃗ and ?⃗.

?=

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