General Knowledge
Vector Math
Pythagorean Theorem
100

Is "45 seconds" scalar or vector?

Scalar 

magnitude only, no direction

100

7 km northeast + 9 km northeast = ?

16 N east (same direction → add)

100

3 m east + 4 m north. 

What is the Resultant magnitude?

5 m 

√(9+16) = √25 = 5m

200

Is "30 m/s north" scalar or vector?


Vector — has magnitude (30 m/s) and direction (north)

200

12 m north + 5 m south = ?

7 m north (opposite → subtract; north is larger)

200

A boat sails 30 m north and then 40 m east. 

What is the resultant displacement.

50 m 

√(90+160) = √250 = 50m

300

Is 30°C a scalar or vector quantity?

Scalar

300

Two forces act on a box: 18 N west and 7 N east. 

What is the resultant force?

18 W + 7 E = 18 - 7 = 11 W

<---      ---> (opposite direction)

400

Is 72 hours a scalar or vector quantity?

Scalar

500

Is 9.8 m/s² downward a scalar or vector quantity?

Vector

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