10

Q1. Vectors that may be subject to its parallel displacement without changing its magnitude and direction are called _________.

• Free vectors
• Coinitial vectors
• Parallel vectors.
• Collinear vectors.

Solution

Vectors that may be subject to its parallel displacement without changing its magnitude and direction are called free vectors.

Q2. The direction of zero vector.

• Does not exist
• Is towards a fixed point
• Is towards the origin
• Is indeterminate

Solution

The direction of zero vector is indeterminate.

Q3. ABCD is a parallelogram. If coordinates of A,B,C are (2,3), (1,4) and (0, -2). Coordinates of D =

• (1,-3)
• (-1,3)
• (1,3)
• (-1,-3)

Solution

Q4. A point from a vector starts is called ...... and where it ends is called its ......

• Origin, end point
• initial point, end point
• initial point, terminal point
• terminal point, end point.

Solution

A point from a vector starts is called initial point and where it ends is called its terminal point.

Q5. Two or more vectors having the same initial point are called

• unit vectors
• zero vectors
• co-initial vectors
• co-terminus vectors.

Solution

Two or more vectors having the same initial point are called co-initial vectors

Q6. If a and b are the position vectors of two points A and B and C is a point on AB produced such that AC = 3AB, then position vector of C will be

• 3a - b
• 3b - a
• 3a - 2b
• 3b - 2a

Solution

Q7. Vector of magnitude 1 is called.

• Constant vector
• Zero vector
• Unit vector
• None of these

Solution

Vector of magnitude 1 is called a unit vector.

Q8. What is the additive identity of a vector?

• zero vector
• unit vector
• The vector itself
• Negative of the vector

Solution

Therefore, zero vector is the additive identity for a vector.

Q9. A vector whose initial and terminal points coincide, is called

• zero vector
• unit vector
• equal vectors
• coterminus vectors

Solution

A vector, whose initial and terminal points coincide, is called zero vector.

Q10. If O be the origin and P₁(x₁, y₁, z₁) & P₂(x₂, y₂, z₂) are two any points, then the vector joining the points P₁ and P₂ is the vector P₁P₂ given by

• OP₁ + OP₂
• OP₂ – OP₁
• OP₁.OP2
• OP₁ – OP₂

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