Multiplication of Vectors MCQs for NEET

The angle between two vectors plays an important role when the two vectors are multiplied. Following are the two ways through a vector multiplication can be carried out:

• Multiplication of a Vector by a scalar
• Multiplication of a vector by a vector

The multiplication of a vector by a vector can be carried out in two ways and they are termed as:

• Dot Product
• Cross Product

The result of a dot product of two vectors is a scalar quantity. The result of the cross product of two vectors is a vector quantity.

Question and Answer

1. ½
2. -½
3. 1
4. -1

Answer: (b) -½

2. A force of 50 N acts on a body and displaces it through a distance of 10 meters in a direction making an angle of 60⁰ with the force. What is the work done by the force?

1. 100 J
2. 150 J
3. 200 J
4. 250 J

Answer: (d) 250 J

3. If the sum of two vectors is perpendicular to the difference between them. The ratio of their magnitude will be

1. 1
2. 2
3. 3
4. 4

Answer: (a) 1

1. π
2. π/2
3. π/3
4. π/4

Answer: (d) π/4

1. \(\begin{array}{l}8\sqrt{3}\end{array} \)
2. \(\begin{array}{l}3\sqrt{8}\end{array} \)
3. \(\begin{array}{l}4\sqrt{3}\end{array} \)
4. \(\begin{array}{l}3\sqrt{4}\end{array} \)

Answer: (a)

1. \(\begin{array}{l}\vec{R}\perp \vec{P}\end{array} \)
2. \(\begin{array}{l}\vec{R}\perp \vec{Q}\end{array} \)
3. \(\begin{array}{l}\vec{R}\perp (\vec{P}+\vec{Q})\end{array} \)
4. \(\begin{array}{l}\vec{R}\perp (\vec{P}\times \vec{Q})\end{array} \)

Answer: (d)

1. 20
2. 36
3. 24
4. 34

Answer: (a) 20

1. \(\begin{array}{l}\vec{P}+\vec{Q}=0\end{array} \)
2. \(\begin{array}{l}\vec{P}-\vec{Q}=0\end{array} \)
3. \(\begin{array}{l}\vec{P}\cdot \vec{Q}=0\end{array} \)
4. \(\begin{array}{l}\vec{P}\times \vec{Q}=0\end{array} \)

Answer: (c)

1. \(\begin{array}{l}0^{\circ}\end{array} \)
2. \(\begin{array}{l}25^{\circ}\end{array} \)
3. \(\begin{array}{l}90^{\circ}\end{array} \)
4. \(\begin{array}{l}180^{\circ}\end{array} \)

Answer: (c)

1. 5 Units
2. 10 Units
3. 15 Units
4. 20 Units

Answer: (b) 10 Units

1. 5 Units
2. 10 Units
3. 15 Units
4. 20 Units

Answer: (a) 5 Units

1. π
2. 0⁰
3. π/2
4. π/4

Answer: (a)

1. π
2. π/2
3. π/4
4. 0

Answer: (b) π/2

1. \(\begin{array}{l}\vec{b}\cdot \vec{c}\end{array} \)
2. \(\begin{array}{l}\vec{b}\times \vec{c}\end{array} \)
3. \(\begin{array}{l}\vec{b}\end{array} \)
4. \(\begin{array}{l}\vec{c}\end{array} \)

Answer: (b)

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