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3-1.Vectors
easy
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
