Question

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If the vector 2i-j+k, i+2j-3k, and
3i+Aj+5k be coplanar, then A=​

Answer 1

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Answer:

A=−4

Step-by-step explanation:

Given that the three vectors, a, b, c are co-planar.Therefore, [abc]=0

or  

∣ 2    −1        1  |

| 1       2    −3  |     =0

| 3     A      5 |

​  

or, 2(10+3A)+1(5+9)+1(A−6)=0  ( expanding along first row.)

or 7A+28=0

∴A=−4

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