What is || <-1, 9, -2 > - < 9 , -4, 1 > ||||<−1,9,−2>−<9,−4,1>||?

1 Answer
Yonas Yohannes
Mar 28, 2016

|V_r|= sqrt(278)~~16.67|Vr|=√278≈16.67

Explanation:

This effectively asking you to find the magnitude of the vector sum.
Solution Strategy:
1) Perform vector addition (subtraction)
2) Compute the magnitude of the new vector, V_rVr
Let vec(V_1) = -i+9j-2k, and vec(V_2) = 9i-4j-k→V1=−i+9j−2k,and→V2=9i−4j−k
Then 1)
V_r = V_1 - V_2=-i+9j-2k -(9i-4j-k)Vr=V1−V2=−i+9j−2k−(9i−4j−k)
V_r=(-1-9)I+(9-(-4)j +(-2-1)kVr=(−1−9)I+(9−(−4)j+(−2−1)k
V_r= -10i+13j-3kVr=−10i+13j−3k
and 2)
|V_r| = sqrt[(-10^2+13^2+3^2) ]= sqrt[278]|Vr|=√(−102+132+32)=√278

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