Consider two vectors {overrightarrow F ₁} = 2hat{i} + 5hat{k} and {overrightarrow F ₂} = 3hat{j}

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3-1.Vectors

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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

A

$26$

B

$23$

C

$5\sqrt {33} $

D

$20$

Solution

${\vec F_1}.{\vec F_2} = (2\hat i + 5\hat k)(3\hat j + 4\hat k)$

$ = 0+ 20 = 20$

Standard 11

Physics

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(AIEEE-2004)