2.2 Vector Algebra

What is the resultant vector?

• A vector sum of two or more vectors.

• A vector when the magnitude of the vector is zero.

• A vector which has a magnitude of unit length.

Answer explanation

The resultant is the vector sum of two or more vectors.

Tags

CCSS.HSN-VM.B.4A

CCSS.HSN-VM.B.4B

What is the two laws evolved for the addition of vectors?

• Polynomial law

• Circle Law

• Triangle Law

• Parallelogram Law

Answer explanation

Two laws have been evolved for the addition of vectors:

–

Triangle law of vectors for addition of two vectors.

–

Parallelogram law of vectors for addition of two vectors.

Tags

CCSS.HSN-VM.B.4A

CCSS.HSN-VM.B.4B

Three points are said to be __________ if all three lie on the same line.

Tags

CCSS.HSG.CO.A.1

Can the resultant of 2 vectors be zero?

• Yes, when the 2 vectors are same in magnitude and direction

• Yes, when the 2 vectors are same in magnitude but opposite in sense

• No

Tags

CCSS.HSN-VM.B.4C

The vectors 10i + 8j and 2i + 7j are added. The magnitude of the sum of these vector is

• 18

• 19

• 19.2

• 19.5

Tags

CCSS.HSN-VM.B.4A

CCSS.HSN-VM.B.4B

A body, acted upon by a force of 50 N is displaced through a distance 10 meter in a direction making an angle of 60° with the force. The work done by the force be: (use ΙaΙ ΙbΙ cosΘ = a.b)

• 200J

• 100J

• 300J

• 250J

The magnitude of a given vector with end points (4, – 4, 0) and (– 2, – 2, 0) must be

• 6.32

• 5

• 4

• 3.5

Tags

CCSS.HSN.VM.A.1