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Binod Chohan
Asked: 2022-11-12T00:11:43+05:30 In:

if ` veca , vecb ,vecc ` are three vectors such that ` veca +vecb + vecc = vec0` then
A. ` veca .vecb= vecb .vecc= vecc.veca`
B. ` veca xx vecb = vecb xx vecc = vecc xx veca`
C. ` veca xx vecb = vecb xx vecc = veca xx vecc`
D. ` vecb xx veca = vecb xx vecc = vecc xx veca`

if ` veca , vecb ,vecc ` are three vectors such that ` veca +vecb + vecc = vec0` then
A. ` veca .vecb= vecb .vecc= vecc.veca`
B. ` veca xx vecb = vecb xx vecc = vecc xx veca`
C. ` veca xx vecb = vecb xx vecc = veca xx vecc`
D. ` vecb xx veca = vecb xx vecc = vecc xx veca`
Parabola
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  1. Correct Answer – B
    we have,
    ` veca +vecb +vecc= vec0`
    ` Rightarrow veca xx (veca + vecb + vecc ) = veca xx vec0` [ Taking cross product with `veca` ]
    ` Rightarrow veca +veca + veca xx vecb + vecc xx veca =0`
    ` Rightarrow vec0 + veca xx vecb -vecc xx veca =0`
    ` Rightarrow veca xx vecb = vecc xx veca`
    Taking cross product of (i) with ` vecb, ” we get ” veca xx vecb = vecb xx vecc`
    ` veca xx vecb = vecc xx veca`

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Brock Thakur
Asked: 2022-11-11T05:26:19+05:30 In:

If ` veca,vecb, vecc` are three vectors such that
` veca + vecb +vecc =vec0, |veca| =1 |vecb| =2, | vecc| =3` , then
` veca.vecb + vecb .vecc +vecc + vecc.veca ` is equal to
A. 1
B. 0
C. -7
D. 7

If ` veca,vecb, vecc` are three vectors such that
` veca + vecb +vecc =vec0, |veca| =1 |vecb| =2, | vecc| =3` , then
` veca.vecb + vecb .vecc +vecc + vecc.veca ` is equal to
A. 1
B. 0
C. -7
D. 7
Parabola
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  1. Correct Answer – C
    we have,
    ` veca + vecb + vecc = vec0`
    ` Rightarrow |veca + vecb + vecc | = 0`
    ` Rightarrow |veca + vecb + vecc|^(2) =0`
    ` Rightarrow |veca|^(2) + |vecb|^(2) + 2 ( veca .vecb + vecb .vecc + vecc. veca) =0`
    `Rightarrow 1+4+ 9+2 ( veca .vecb +vecb .vecc + vecc .veca) = 0`
    ` Rightarrow veca. vecb + vecb.vecc + vecc.veca = – 7 `

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