Kinematics Question 263
Question: Consider two vectors $ {{\overrightarrow{F}}_1}=2\hat{i}+5\hat{k} $ and $ {{\overrightarrow{F}}_2}=3\hat{j}+4\hat{k}. $ The magnitude of the scalar product of these vectors is [MP PMT 1987]
Options:
A) 20
B) 23
C) $ 5\sqrt{33} $
D) 26
Correct Answer: D $ {{\vec{F}}_1}.{{\vec{F}}_2}=(2\hat{j}+5\hat{k})(3\hat{j}+4\hat{k}) $ $ =6+20=20+6=26 $
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