# SOLVED VECTOR QUESTIONS II

## Vectors in physics. Addition, subtraction, multiplication and division operations on vectors. Finding the components of vectors. Questions and its annotated solutions.

**Question 1 **

The K, L, M, and N vectors is seen in the figure above. The surface that the vectors are on is separated into unit squares. The length of each unit square is equal 30 N.

What is the direction and magnitude of resultant vector of 2K - 4N + L - 3M operation?

A) 60 N B) 90 N C) 90√2 N

D) 150 N E) 150√2 N

**Question 2**

The K, L, M, N and P vectors is seen in the figure above. The vectors are on a surface that separated into unit squares. The length of each unit is equal 25 N.

What is the magnitude of resultant of the K -2L + M - 3N + P operation?

A) 50 B) 75 C) 125

D) 150 E) 225

**Question 3**

The K, L, M, N and P vectors is seen in the figure. The surface that the vectors are on is separated into unit squares.

What is the magnitude and direction of the resultant vector of 5L - 3K + P + M/2 + N operation?

A) Magnitude: 4 unit, direction: North

B) Magnitude: 5 unit, direction: West

C) Magnitude: 4 unit, direction: South

D) Magnitude: 5 unit, direction: East

E) Magnitude: 6 unit, direction:West

**Question 4**

Flow rate of the river that seen in the figure is 3 m/s. A boat starts to move vertically to the river from "A" point. The start velocity of the boat 4 m/s.

Width of the river is 200 meters.

What is the magnitude of velocity of the boat in the river, relative to an observer on the coast.

A) 5 B) 6 C) 8

D) 10 E) 12

**Question 5**

Flow rate of the river which seen in the figure is 2 m/s. A boat is starting to move by speed of 3 m/s vertically to the river from "A" point.

Width of the river is 360 meters.

The boat, how many meter down of the "B" point reaches to the opposite shore?

A) 360 B) 300 C) 240

D) 200 E) 180

**Question 6**

(sin30° = 0,5, cos30 = 0,87, cos60° = 0,5, sin60° = 0,87)

The magnitude of the vector x in the figure is 200 N and magnitude of the vector Y is 100 N.

What is magnitude of the resultant of the X and Y vectors?

A)90 B) 63 C) 56

D) 41 E) 36

**Solutions Of The Vector Questions-2**

RISE KNOWLEDGE

26/09/2018

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