(A) Let the vector be $\vec{A} = 8 \hat{i} + 6 \hat{j}$.First,calculate the magnitude of the vector: $|\vec{A}| = \sqrt{8^2 + 6^2} = \sqrt{64 + 36} =

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(A) Let the vector be $\vec{A} = 8 \hat{i} + 6 \hat{j}$.First,calculate the magnitude of the vector: $|\vec{A}| = \sqrt{8^2 + 6^2} = \sqrt{64 + 36} = \sqrt{100} = 10$.The unit vector $\hat{A}$ is defined as $\hat{A} = \frac{\vec{A}}{|\vec{A}|}$.Substituting the values,$\hat{A} = \frac{8 \hat{i} + 6 \hat{j}}{10} = 0.8 \hat{i} + 0.6 \hat{j}$.

Class 11 Physics 1 Motion in a Plane: Vectors Fundamentals of Vectors

Easy

Find the unit vector of a vector whose coordinates are $(8, 6)$.

A
$0.8 \hat{i} + 0.6 \hat{j}$
B
$0.6 \hat{i} + 0.8 \hat{j}$
C
$8 \hat{i} + 6 \hat{j}$
D
$0.4 \hat{i} + 0.3 \hat{j}$

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1 Motion in a Plane: Vectors

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Fundamentals of Vectors

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Find the unit vector of a vector whose coordinates are $(8, 6)$.

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There are two vectors $\vec{A} = 6\hat{i} + 9\hat{j} - \hat{k}$ and $\vec{B} = 2\hat{i} + 3\hat{j} - p\hat{k}$ which have the same direction. The value of '$p$' is

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Given two vectors $\vec{A}$ and $\vec{B}$,such that $\vec{A} + \vec{B} = \vec{C}$ and $A^2 + B^2 = C^2$. Which of the following statements is true?

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