Question

The unit vector parallel to the resultant of the vectors 2i+3j-k and 4i-3j+2k is___
(A)1/✓37(6i+k)
(B)1/✓37(6i+j)
(C)1/✓37(6j+k)
(D)(6i+k)​

Answer 1

Explanation:

180

o

Resultant of two vectors is given by parallelogram law of vector addition. As per this law, the resultant vector is R=

(

A

2

+B

2

+2ABcosθ). Here A and B are the two vectors and θ is the angle between them. You can see that R will be minimum when θ is equal to 180

o

that is when the 2 vectors are antiparallel to each other

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Answer verified by Toppr

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Answer 2

Answer:

1/√37 (6i + k)

Explanation:

Unit vector = vector/magnitude

Finding resultant vector :

Resultant is the sum of vectors(two or more).

Resultant = (2i + 3j - k) + (4i - 3j + 2k)

Resultant = 6i + k

Finding magnitude :

Magnitude of vector = √6² + 1²

Magnitude of vector = √37

Using, unit vector = vector/magnitude

Thus,

unit vector = (6i + k)/√37 = 1/√37 (6i + k)