Question

Check whether the vectors `2hati + 2hatj + 3hatk, - 3hati + 3hatj + 2hatk` and `3hati + 4hatk` form a triangle or not.

Answer 1

Given vectors:

`vecA = 2hati+2hatj+3hatk`

`vecB = -3hati + 3hatj + 2hatk`

`vecC = 3hati+0hatj+4hatk`

`vecA + vecB + vecC = 0`

Add the vectors

i-components:

2 + (−3) + 3 = 2

j-components:

2 + 3 + 0 = 5

k-components:

3 + 2 + 4 = 9

Resultant vector

`vecA+vecB+vecC = 2hati+5hatj+9hatk`

Final Conclusion

`vecA+vecB+vecC cancel= vec0`