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Consider three vectors veca , vecb and v...

Consider three vectors `veca , vecb and vecc`
Statement 1: `vecaxxvecb = ((hatixxveca).vecb)hati+ ((hatj xx veca).vecb)hatj + (hatk xxveca).vecb)hatk`
Statement 2: `vecc= (hati.vecc)hati+ (hatj .vecc) hatj + (hatk. vecc)hatk`

A

Both the statements are true and statement 2 is the correct explanation for statement 1.

B

Both statements are true but statement 2 is not the correct explanation for statement 1.

C

Statement 1 is true and Statement 2 is false

D

Statement 1 is false and Statement 2 is true.

Text Solution

Verified by Experts

The correct Answer is:
a
Statement 2 is true (see properties of dot product)
Also ` (hatixxveca) .vecb=hati. (veca xxvecb)`
`Rightarrow veca xxvecb = (hati. (vecaxxvecb))hati+ (hatj. (vecaxxvecb))hatj + (hatk. (veca xx vecb))hatk`
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