Question

62. If the vectors
and 3i form two sides of
a triangle, then 3rd side of the triangle can be :
(1) 18 unit
(2) 6 unit
3
(3)
unit
(4) both 1 & 2
​

Answer 1

Step-by-step explanation:

Given  If the vectors i + j + k and 3i form two sides of  a triangle, then 3rd side of the triangle can be :  

           We need to find the third side of the triangle.

• Now we have vectors A , B and C in a triangle.
• Now the mod of C vector is C = mod  vector A – vector B  
• Now in another situation we have vector A, vector B and vector C
• So mod of C vector is C = mod vector A + vector B
• Now vector A + vector B = 4i + j + k
• Also vector A – vector B = - 2i + j + k
• Now the third vector depends on these two vectors. Therefore magnitude of vectors will be
• Mod vector A – vector B = √2^2 + 1^2 + 1^2
•                                              = √6 unit
• Mod vector A + vector B = √4^2 + 1^2 + 1^2
•                                          = √18  unit
• So the length of third side will be either √6 or √18 units.

So it can be both 1 and 2

Reference link will be

https://brainly.in/question/7385292