Let ā = î+ĵ-k̂ and c̄ = 2î-3ĵ+2k̂. Then the number of vectors b̄ such that b̄×c̄=ā and |b̄| ∈ {1,2,......10} is:
Let ā = î+ĵ-k̂ and c̄ = 2î-3ĵ+2k̂. Then the number of vectors b̄ such that b̄×c̄=ā and |b̄| ∈ {1,2,......10} is:
Option 1 -
0
Option 2 -
1
Option 3 -
2
Option 4 -
3
Asked by Shiksha User
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1 Answer
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Correct Option - 1
Detailed Solution:a = I + j – k
c = 2i – 3j + 2k
Now,
b x c = a
=> (i+j–k) (2i–3j+2k) = 0
=> 2 – 3 – 2 = 0
=> –3 = 0 (Not possible)
=> No possible value of b is possible.
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