Free Printable Vectors 1

1.

The physical quantities which are not vectors are

(i) Position

(ii) Torque

(iii) Pressure

(iv) Current

(v) Momentum

a)

all of them

b)

only (i) , (ii) and (v)

c)

only (iii) and (iv)

d)

only (i), (iii), (iv) and (v)

2.

What is the value of side AB?

a)

8.5

b)

4.6

c)

6.9

d)

7.8

3.

Write in Cartesian form.

a)

(0, 4)

b)

(8, 2)

c)

(2, 8)

d)

(0, 2)

4.

Find the magnitude and direction of the vector (6, -8).

a)

36, 53⁰

b)

10, -53⁰

c)

-10, 37⁰

d)

5, 60⁰

5.

Convert the vector $\overrightarrow{A}\ =\left(5\sqrt{2},\ 135^0\right)$ to Cartesian form

a)

(5 , 5)

b)

(-5 , -5)

c)

(-5 , 5)

d)

(5,-5)

6.

Convert vector $\overrightarrow{A}\ =\ \left(3\sqrt{3},\ 3\right)$ to polar form

a)

$\left(6,\ 30^0\right)$

b)

$\left(3,\ 60^0\right)$

c)

$\left(6\sqrt{3},\ 30^0\right)$

d)

$\left(2,\ 60^0\right)$

7.

Two vectors of magnitude 4 and 6 are making an angle of 60^0.The magnitude and direction of the sum of the two vectors are

a)

Magnitude = 9.2 and angle is $\tan^{-1}\left(\frac{3\sqrt{3}}{11}\right)$

b)

Magnitude = 8.73 and angle is $\tan^{-1}\left(\frac{3\sqrt{3}}{7}\right)$

c)

Magnitude = 8.73 and angle is $\tan^{-1}\left(\frac{2\sqrt{3}}{9}\right)$

d)

Magnitude = 10 and angle is $\tan^{-1}\left(\sqrt{3}\right)$

8.

Two vectors of magnitude $A\ and\ \sqrt{3}A$ make an angle of $30^0$ . The magnitude of the sum of the two vectors is

a)

$\sqrt{7}A$

b)

$2.73A$

c)

$0.73\ A$

d)

$\sqrt{3}\ A$

9.

Vector $A=\left(4,\ 30^0\right)\ and\ B=\left(3,\ 120^0\right)$ are acting at a point. The magnitude and direction of $\overrightarrow{A}\ +\ \overrightarrow{B}$ are

a)

$magnitude\ 6\ and\ makes\ and\ angle\ of\ 30^0\ with\ \ \overrightarrow{A}$

b)

$magnitude\ 5\ and\ makes\ and\ angle\ of\ 37^0\ with\ \ \overrightarrow{A}$

c)

$magnitude\ 7\ and\ makes\ and\ angle\ of\ 60^0\ with\ \ \overrightarrow{A}$

d)

$magnitude\ 5\ and\ makes\ and\ angle\ of\ 53^0\ with\ \ \overrightarrow{A}$

10.

Consider two vectors of equal magnitude. The ratio of magnitude of the sum of the vectors when they make an angle of $60^0$ to that when they make an angle of $90^0$ is.

a)

$\frac{\sqrt{2}}{\sqrt{3}}$

b)

$\frac{\sqrt{3}}{\sqrt{2}}$

c)

$\frac{3}{2}$

d)

$\frac{2}{\sqrt{3}}$

Vectors 1

Total questions: 10

Worksheet time: 14mins

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