Question

If a vector is equal to 3 icap + 4 j cap and b vector is equal to 7 icap + 24 j cap find the vector having the same magnitude as b vector parallel to a vector

Answer 1

Explanation:

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Answer 2

c vector is $15i+20j$.

Explanation:

Given that,

Vector A, $a=3i+4j$

Vector B, $b=7i+24j$

Let c is the vector having the same magnitude as b vector parallel to a vector such that,

$|c|=|b|$

$|c|=\sqrt{7^2+24^2} =25$

According to question,

$\hat{A}=\hat{B}$

$\dfrac{3i+4j}{\sqrt{9+16}}= \dfrac{(xi+yj)}{\sqrt{49+576} }$

$\dfrac{3i+4j}{5}= \dfrac{(xi+yj)}{25}$

$\dfrac{3i+4j}{1}= \dfrac{(xi+yj)}{5}$

$c=xi+yj=15i+20j$

So, c vector is $15i+20j$. Hence, this is the required solution.

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