Find the values of x, y and z so that the vectors $straight a with rightwards arrow on top space equals straight x space straight i with hat on top space plus space 2 space straight j with hat on top space plus space straight z space straight k with hat on top$ and $straight b with rightwards arrow on top space equals space 2 space straight i with hat on top space plus space straight y space straight j with hat on top space plus space straight k with hat on top$ are equal.

Solution

Here, $straight a with rightwards arrow on top space equals straight x space straight i with hat on top space plus space 2 space straight j with hat on top space plus space straight z space straight k with hat on top$ and $straight b with rightwards arrow on top space equals space 2 space straight i with hat on top space plus space straight y space straight j with hat on top space plus space straight k with hat on top$
We know that two vectors are equal if and only if their corresponding components are equal
$therefore space space space space straight a with rightwards arrow on top space equals space straight b with rightwards arrow on top space space space space space space rightwards double arrow space space space space space space straight x space straight i with hat on top space plus space 2 space straight j with hat on top space plus space straight z space straight k with hat on top space equals space 2 space straight i with hat on top space plus space straight y space straight j with hat on top space plus space straight k with hat on top rightwards double arrow space space space space space straight x space equals space 2 comma space space space straight y space equals space 2 comma space space straight z space equals space 1$

Some More Questions From Vector Algebra Chapter

For Daily Free Study Material Join wiredfaculty

Vector Algebra

Some More Questions From Vector Algebra Chapter

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

Find the values of x, y and z so that the vectors and are equal.

Some More Questions From Vector Algebra Chapter

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

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