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Vector Algebra

Question
CBSEENMA12035901
Wired Faculty App

Write a vector of magnitude 15 units in the direction of vector  i^ - 2j^ + 2k

Solution

Unit vector along the direction of vector a→,  a^ = a→ a→ Let   a→ = i^ - 2j^ + 2k a→  =   1 2 +  - 2 2 +  2 2 = ±3i.e.   a^ = 13  i^ - 2j^ + 2 So, the vector whose magnitude is 15 and has direction along the vectori^ - 2j^ + 2k  is given by15 x 13  i^ - 2j^ + 2k = 5  i^ - 2j^ + 2k =  5i^ - 10j^ + 10k So the required vector is  5i^ - 10j^ + 10k

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