# Vector Addition

## Trending Questions

**Q.**

Vector A has magnitude of 5 units and makes an angle of 30∘ with the x-axis. Vector B has magnitude 10 units & make an angle of 60∘ with the x-axis. Find →A+→B

**Q.**Statement I:

Two forces(→P+→Q) and (→P−→Q) where →P⊥→Q. when act at an angle θ1 to each other, the magnitude of their resultant is √3(P2+Q2). when they act an angle θ2, the magnitude of their resultant becomes √2(P2+Q2). This is possible only when θ1<θ2.

Statement II:

In the situtation given above. θ1=60o and θ2=90o In the light of the above statements choose the most appropriate answer from the options given below:

- Both statement I and Statement II are false
- Statement I is true but Statement II is false.

- Statement i is false but Statement II is true.
- Both Statement I and Statement II are true.

**Q.**

Two vectors having equal magnitudes of A make an angle θ with each other. Find the magnitude B of the resultant vector and the angle it makes with any one of the vectors?

B = 2 A cos ,

B = A ,

B = A cos ,

B = 2 A cos ,

**Q.**

If I have two vectors of length 3 and 4. What are the maximum and minimum possible lengths of the resultant?

7 and 0

7 and 1

7 and -1

5 and 0

**Q.**

Vector A has magnitude of 3 units and makes an angle of 30∘ with the positive x-axis.

Vector B has magnitude of 4 units and makes an angle of 120∘ with the positive x-axis.

Find the magnitude of the resultant and the angle that it makes with the positive x-axis.

[tan−1(43)=53∘]

Angle =

Angle =

Angle =

Angle =

**Q.**

How will you write the vector joining points P(1, 3, 2) and Q(4, 2, 1)? Also write the unit vector for →PQ

**Q.**

Given two vectors a vector and b vector where b makes an angle theta with the positive direction of a as shown. Find the magnitude of the resultant according to triangle law in this case.

I tried and i think have the answer in the first attempt.

I am trying but I am stuck

I tried and did not get the answer initially but after a few attempts I think I have the right answer now.

I didn't try and don't want to do it on my own. I want to watch you doing it and spoon feed me like a baby

**Q.**

Two vectors have magnitudes 3 unit and 4 unit respectively. What should be the angle between them if the magnitude of the resultant is 5 unit

**Q.**

Find the resultant of 2 vectors whose magnitude is 6 and 8 and make an angle of 90 degrees between them.

12

10

6

8

**Q.**If you take 3 steps towards North then 4 steps towards East.

Then Find the Resultant.

- 5 in North East direction
- 5 towards North
- 5 towards South
- 5 in North West direction