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Find a vector of magnitude 5 which is parallel to 2icap -jcap

please solve step by step​

Sagot :

Theekshanaidn

Answer:

[tex]2\sqrt{5} . i - \sqrt{5}.j[/tex]

Explanation:

the unit vector of 2i-j

[tex]=\frac{1}{\sqrt{2^{2} +(-1)^{2} } }2i-j\\=\frac{1}{\sqrt{5} } (2i-j)[/tex]

The vector of magnitude 5 which is parallel to 2i - j is

[tex]5.\frac{1}{\sqrt{5} } (2i-j)\\=2\sqrt{5} . i - \sqrt{5}.j[/tex]

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