Write a unit vector in the direction of $\vec{b} = 2 \hat{i} + \hat{j} + 2 \hat{k} .$

Solution

$\vec{b} = 2 \hat{i} + \hat{j} + 2 \hat{k} Unit vector in the direction of \vec{b} is given by \frac{\vec{b}}{|\vec{b}|} \frac{\vec{b}}{|\vec{b}|} = \frac{2 \hat{i} + \hat{j} + 2 \hat{k}}{\sqrt{9}} = \frac{1}{3} (2 \hat{i} + \hat{j} + 2 \hat{k})$

Some More Questions From Vector Algebra Chapter

For Daily Free Study Material Join wiredfaculty

Vector Algebra

Write a unit vector in the direction of $\vec{b} = 2 \hat{i} + \hat{j} + 2 \hat{k} .$

Some More Questions From Vector Algebra Chapter

Classify the following measures as scalars and vectors.
20 m/s²

Classify the following measures as scalars and vectors.
time period

Classify the following measures as scalars and vectors.
distance

Classify the following measures as scalars and vectors.
force

Classify the following measures as scalars and vectors.
velocity

Classify the following measures as scalars and vectors.
work done

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Phone Number

Email Address

Loaction

For Daily Free Study Material Join wiredfaculty

Vector Algebra

Write a unit vector in the direction of b→ = 2i^ + j^ + 2k^.

Some More Questions From Vector Algebra Chapter

Classify the following measures as scalars and vectors.20 m/s2

Classify the following measures as scalars and vectors.time period

Classify the following measures as scalars and vectors.distance

Classify the following measures as scalars and vectors.force

Classify the following measures as scalars and vectors.velocity

Classify the following measures as scalars and vectors.work done

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Write a unit vector in the direction of $\vec{b} = 2 \hat{i} + \hat{j} + 2 \hat{k} .$

Classify the following measures as scalars and vectors.
20 m/s²

Classify the following measures as scalars and vectors.
time period

Classify the following measures as scalars and vectors.
distance

Classify the following measures as scalars and vectors.
force

Classify the following measures as scalars and vectors.
velocity

Classify the following measures as scalars and vectors.
work done