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The position vectors of two balls are given by
$\vec{r_{1}} = 2 (m) \hat{i} + 7 (m) \hat{j}$
$\vec{r_{2}} = - 2 (m) \hat{i} + 4 (m) \hat{j}$
What is the distance between the two balls?

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4 m

4.5 m

5 m

3 m

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detailed solution

Correct option is C

r1→ = 2(m)i^+7(m)j^r2→ = −2mi^+4mj^∴ r1→−r2→ = [2−(−2)]i^+(7−4)j^∴|r1→ −r2→| = 42+(3)2 = 52 = 5 m

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The position vectors of two balls are given byr1→ = 2(m)i^+7(m)j^r2→ = −2(m)i^+4(m)j^What is the distance between the two balls?

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

The position vectors of two balls are given by
$\vec{r_{1}} = 2 (m) \hat{i} + 7 (m) \hat{j}$
$\vec{r_{2}} = - 2 (m) \hat{i} + 4 (m) \hat{j}$
What is the distance between the two balls?