Value of a unit vector in direction of vector A = 5hat{i} - 12hat{j}, is

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3-1.Vectors

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The value of a unit vector in the direction of vector $A = 5\hat i - 12\hat j,$ is

A

$\hat i$

B

$\hat j$

C

$(\hat i + \hat j)/13$

D

$(5\hat i - 12\hat j)/13$

Solution

(d) $\vec A = 5\hat i + 12\hat j$,$|\vec A| = \sqrt {{5^2} + {{( – 12)}^2}} $=$\sqrt {25 + 144} $$ = 13$

Unit vector $\hat A = \frac{{\vec A}}{{|\vec A|}}$=$\frac{{5\hat i – 12\hat j}}{{13}}$

Standard 11

Physics

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