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CBSE Gujarat Board Haryana Board

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Class 10 Class 12

Motion in A Plane

Can $straight A with rightwards arrow on top plus straight B with rightwards arrow on top space equals space straight A with rightwards arrow on top minus straight B with rightwards arrow on top$ ?

If $space straight B with rightwards arrow on top$ is a zero vector, then $straight A with rightwards harpoon with barb upwards on top plus B with rightwards harpoon with barb upwards on top space equals space A with rightwards harpoon with barb upwards on top minus B with rightwards harpoon with barb upwards on top$ .

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What is the resultant of two perpendicular vectors of magnitude 12 and 5?

The resultant of two vectors is given by,

$straight R space equals space square root of straight A squared plus straight B squared end root$ = $square root of 12 squared plus 5 squared end root space equals space square root of 169 space equals space 13$

139 Views

If magnitude of two vectors is 5 and 2 units respectively, then what can be the maximum possible magnitude of the resultant of these two vectors?

Given,

Magnitude of first vector = 5
Magnitude of second vector = 2

Resultant of two vectors =

square root of 5 squared plus 2 squared end root

Therefore, the maximum possible magnitude of the resultant of the two vectors is 7 units.

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Do you think that magnitude $straight i with hat on top minus straight j with hat on top$ is zero?

Magnitude = $square root of left parenthesis 1 right parenthesis squared plus left parenthesis 1 right parenthesis squared end root space equals square root of 2$