A vector, 14 units from the origin, along the X axis, is added to vector 16 units from the origin along the Z axis. What is the resultant vector?

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$3 \hat{i} + 8 \hat{z}$

$14 \hat{1} + 16 \hat{z}$

$2 \hat{ı} + 7 \hat{z}$

$16 \hat{ı} + 14 \hat{z}$

answer is B.

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Detailed Solution

The vector 14 units from the origin and along X axis is 14î. The vector 16 units from the origin and along Y axis is $16 \hat{z}$ . Hence the sum is $14 \hat{ı} + 16 \hat{z} .$

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