Math, asked by prithuraj62, 19 days ago

For the vectors ⃗ = (3, 1, 0), ⃗ = (2, 2, 3) and ⃗ = (−1, 2, 1), ⃗ ⊥ ( ⃗ + ⃗), then = ____. (a) 8 (b) 4 (c) 1/ 8 (d) 1/ 4

Answers

Answered by Kalpesh0099

Answer:

B

T

=

∣

−1

1

2

0

2 −1

∣

So, AB

T

=

∣

3 −1

2

0

3 ∣

×

∣

−1

1

2

0

2 −1

∣

=

∣

3(−1)−1(1)+0(2)

−1(−1)+2(1)+3(2)

3(0)−1(2)+0(−1)

−1(0)+2(2)+3(−1)

∣

=

∣

−4

9 −2

1 ∣

And (AB

T

)

T

=

∣

−4

−2

9

1 ∣

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For the vectors ⃗ = (3, 1, 0), ⃗ = (2, 2, 3) and ⃗ = (−1, 2, 1), ⃗ ⊥ ( ⃗ + ⃗), then = ____. (a) 8 (b) 4 (c) 1/ 8 (d) 1/ 4​

Answers

Answer:

B

T

=

∣

∣

∣

∣

∣

∣

∣

∣

−1

1

2

0

2

−1

∣

∣

∣

∣

∣

∣

∣

∣

So, AB

T

=

∣

∣

∣

∣

∣

∣

3

−1

−1

2

0

3

∣

∣

∣

∣

∣

∣

×

∣

∣

∣

∣

∣

∣

∣

∣

−1

1

2

0

2

−1

∣

∣

∣

∣

∣

∣

∣

∣

=

∣

∣

∣

∣

∣

∣

3(−1)−1(1)+0(2)

For the vectors ⃗ = (3, 1, 0), ⃗ = (2, 2, 3) and ⃗ = (−1, 2, 1), ⃗ ⊥ ( ⃗ + ⃗), then = ____. (a) 8 (b) 4 (c) 1/ 8 (d) 1/ 4