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Q.

A Vector is represented by $3 \hat{i} + \hat{j} + 2 \hat{k}$ Its length in XY plane is

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a

$\sqrt{10} units$

b

$\sqrt{5} units$

c

2 units

d

$\sqrt{14} units$

answer is C.

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Detailed Solution

length in a given plane $= \sqrt{x^{2} + y^{2}}$ $= \sqrt{3^{2} + 1^{2}} = \sqrt{9 + 1} = \sqrt{10}$

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