What displacement must be added to displacement 25hat{i} - 6hat{j},,m to give a displacement of 7.0,

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3-1.Vectors

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What displacement must be added to the displacement $25\hat i - 6\hat j\,\,m$ to give a displacement of $7.0\, m$ pointing in the $X- $direction

A

$18\hat i - 6\hat j$

B

$32\hat i - 13\hat j$

C

$ - 18\hat i + 6\hat j$

D

$ - 25\hat i + 13\hat j$

Solution

(c) Previous position $=25 \hat i – 6 \hat j $

New position $=7 \hat i+0 \hat k $

Displacement $=$ (New position) $-$ (old position) $=(7 \hat i+0 \hat j)-(25 \hat i-6 \hat j)=-18 \hat i+6 \hat j $

Required displacement $=-18 \hat i + 6 hat j $

Standard 11

Physics

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