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Sagot :
[tex]\large\underline{\underline{\maltese{\red{\pmb{\sf{\: Correct \: option \: is \: A) :-}}}}}}[/tex]
[tex]\rule{300pt}{3pt}[/tex]
[tex]\large{|\underline{\mathtt{\red{E}\blue{x}\orange{p}\pink{l}\blue{a}\purple{n}\green{a}\red{t}\blue{i}\green{o}\orange{n:-}}}}[/tex]
- [tex] \large \tt \red {H_{B} = \frac{u ^{2} }{2g \sin \theta } }[/tex]
- [tex] \large \tt \orange { H_{A} = \frac{u ^{2} \sin ^{2} \alpha }{2g \sin \theta} }[/tex]
- [tex] \large \tt \blue { H_{C} = \frac{u ^{2} \sin ^{2} (90 - \alpha )}{2g \sin \theta} = \frac{u ^{2} \cos ^{2} \alpha }{2g \sin \theta } }[/tex]
[tex] \large \tt \pink{⇒ H_{C} + H_{A} = H_{B}}[/tex]
The resultant of the vectors is [tex]H_A + H_C = H_B[/tex].
What is a resultant vector?
A resultant vector is the vector sum of two or more vectors.
The given vectors;
- Height of vector A = HA
- Height of vector B = HB
- Height of vector C = HC
The height of vector B is the resultant of the three given vectors.
When the vectors are drawn from head to tail, the vector B forms the resultant of the two other vectors (A and C).
Thus, the resultant of the vectors is [tex]H_A + H_C = H_B[/tex].
Learn more about resultant vectors here: https://brainly.com/question/110151
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