Question

Q 30 of 60
Mark for review
If a vector is represented by xi +yj +zk, its
length in x-y plane is​

Answer 1

Answer:

60 is the correct answer ithink

Answer 2

SOLUTION

TO DETERMINE

If a vector is represented by $\sf{x \hat{i} + y \hat{j} + z \hat{k}}$

, it's length in x-y plane is

EVALUATION

Here the given vector is

$\sf{x \hat{i} + y \hat{j} + z \hat{k}}$

Thus x - component = x

y - component = y

z - component = z

We know that for any point on xy plane we have z = 0

Hence the required length

$\sf{ = \sqrt{ {x}^{2} + {y}^{2} + {0}^{2} } }$

$\sf{ = \sqrt{ {x}^{2} + {y}^{2} } }$

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