A vector is represented by $3 ¯ i + ¯ j + 2 ¯ ¯ ¯ k$ . lt's length in $x y$ plane is:

2

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

\sqrt{14}

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

\sqrt{10}

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

\sqrt{5}

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

Open in App

Solution

The correct option is B $\sqrt{10}$
It is mentioned that we have to find length in xy plane therefore, only x & y component will count.
$\sqrt{3^{2} + 1^{2}}$ $= \sqrt{10}$

Suggest Corrections

Similar questions

A vector is represented by 3i^+j^+2k^. It's length in X-Y plane will be?

Option:

a)2

b)rt14

c)rt10

d)rt5

A vector is represented by $3^i +^j + 2^k$ . Its length in XY plane is

3^i +^j + 2^k

X Y

\vec{r} \cdot (\hat{i} - \hat{j} + 2 \hat{k}) = 5 and \vec{r} \cdot (3 \hat{i} + \hat{j} + 2 \hat{k}) = 6

Join BYJU'S Learning Program