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If the vectors -3hat(i)+4hat(j)-2hat(k),...

If the vectors `-3hat(i)+4hat(j)-2hat(k),hat(i)+2hat(k),hat(i)-phat(j)` are coplanar, then the value of p is

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Let `bar(a)=-3hat(i)+4hat(j)-2hat(k),bar(b)=hat(i)+2hat(k),bar(c)=hat(i)-phat(j)`
Then `[bar(a)bar(b)bar(c)]=|{:(-3,4,-2),(1,0,2),(1,-p,0):}|`
`=-3(0+2p)-4(0-2)-2(-p-0)`
`=-6p+8+2p=-4p+8`
Now, `bar(a),bar(b),bar(c)` are coplanar.
`:.[bar(a)bar(b)bar(c)]=0`
`:.-4p+8=0`
`:.-4p=-8`
`:.p=2`.
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