First slide

Scalars and Vectors

Question

Let $C = A + B$

Moderate

A

$| C |$ is always greater than $| A |$
B

It is possible to have |C|<|A| and |C|<|B|
C

C is always equal to A+B
D

C is never equal to A+B

Solution

$| C | = | A + B | \leq | A | + | B |$
Hence it can be said that
Thus, the statement $| C | < | A |$ and $| C | < | B |$ is correct.

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