You visited us 1 times! Enjoying our articles? Unlock Full Access!

Acceleration in 2D

The x, y, z...

Question

The $(x, y, z)$ co-ordinate of two points A and B are given respectively as $(0, 3, - 1)$ and $(- 2, 6, 4) .$ The displacement vector from A to B may be given by :

- 2 i + 6 j + 4 k

No worries! We‘ve got your back. Try BYJU‘S free classes today!

- 2 i + 3 j + 3 k

No worries! We‘ve got your back. Try BYJU‘S free classes today!

- 2 i + 3 j + 5 k

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

2 i - 3 j - 5 k

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $- 2 i + 3 j + 5 k$
Let $A = (0, 3, - 1)$ and $B = (- 2, 6, 4)$
$A = 3^j -^k$
and $B = - 2^i + 6^j + 4^k$
The displacement vector from A to B
$= B - A$
$= (- 2^i + 6^j + 4^k) - (3^j -^k)$
$= - 2^i + 3^j + 5^k$

Suggest Corrections

Similar questions

\vec{a} = \hat{i} + 2 \hat{j} - \hat{k}, \vec{b} = 3 \hat{i} + 2 \hat{j} + 7 \hat{k}, \vec{c} = 5 \hat{i} + 6 \hat{j} + 5 \hat{k}

\vec{a} = - 4 \hat{i} - 6 \hat{j} - 2 \hat{k}, \vec{b} = - \hat{i} + 4 \hat{j} + 3 \hat{k}, \vec{c} = - 8 \hat{i} - \hat{j} + 3 \hat{k}

\hat{a} = \hat{i} - 2 \hat{j} + 3 \hat{k}, \hat{b} = - 2 \hat{i} + 3 \hat{j} - 4 \hat{k}, \hat{c} = \hat{i} - 3 \hat{j} + 5 \hat{k}

\vec{a} = 2 \hat{i} - (y + z) \hat{j} + 5 \hat{k} and \vec{b} = (x + y) \hat{i} + 3 \hat{j} + (z + x) \hat{k}

\to i + \to 2 j + \to 3 k

\to i - \to 2 j + \to 5 k

\to 3 j - \to 4 k

- \to 2 i + \to 3 j - \to 3 k

5 ˆ i + 5 ˆ k, 2 ˆ i + ˆ j + 3 ˆ k

- 4 ˆ i + 3 ˆ j - ˆ k

2 \hat{i} - \hat{j} + \hat{k}, \hat{i} - 3 \hat{j} - 5 \hat{k} and 3 \hat{i} - 4 \hat{j} - 4 \hat{k}

\hat{i} + \hat{j} + \hat{k}, 2 \hat{i} + 3 \hat{j} - \hat{k} and - \hat{i} - 2 \hat{j} + 2 \hat{k}

Join BYJU'S Learning Program