Answer:
![\[\sqrt{5}\]](https://tex.z-dn.net/?f=%5C%5B%5Csqrt%7B5%7D%5C%5D)
Step-by-step explanation:
The given vector is represented by (2,-1).
This can be represented in general form as (x,y) where x=2 and y=-1.
Magnitude of the vector represented as (x,y) is given by ![[\sqrt{x^{2}+y^{2}}\]](https://tex.z-dn.net/?f=%5B%5Csqrt%7Bx%5E%7B2%7D%2By%5E%7B2%7D%7D%5C%5D)
Evaluating for the given values of x and y,
![\[\sqrt{2^{2}+(-1)^{2}}\]](https://tex.z-dn.net/?f=%5C%5B%5Csqrt%7B2%5E%7B2%7D%2B%28-1%29%5E%7B2%7D%7D%5C%5D)
Length of the vector is
Answer:
20 cm
Step-by-step explanation:
∵ S is the centroid of ΔNLM
∴ S divides NG at ratio 1 : 2 from the base
∴SQ = 1/2 NS
∴3x - 5 = 1/2 (4x)
∴3x - 5 = 2x
∴3x - 2x = 5
∴x = 5
∴ NS = 4 × 5 = 20 cm