Question

. if A = i + 2 j + 3 k and B = − i + $ j + 5 k are perpendicular to each other then find value of $ Also find unit vector along B.

Answer 1

Answer:

Unit vector is just a vector of length I

Unit vector in the direction of any vector can be calculated just by dividing the vector with its magnitude. Unit vector perpendicular to two given vectors can be found by dividing the cross product of two vectors with its magnitude.

i.e, Unit vector perpendicular to

A & B is given byC^ = ∣ A × B ∣( A × B)

Where A = i^ −2 j^ + k^ × B =3 i^ − j^ +2 k^⇒ C=( i^ −2 j^ + k^ )(3 i^ − j^ +2 k^ )=(− k^ −2 j^ +6 k^ −4 i^ +3 j^ + i^ )C =(−3 i^ + j^ +5 k^ )∣ C ∣= 9+1+25 ∣ C ∣= 35 C^ = ∣ C ∣C = 35 (−3 i^ + j^ +5 k^ )

Explanation:

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