IF ` vecA = 0.4 hati + 0.3 hatj + c hatk` be a unit vector , then what is the value of c ?

If vecA =0.4hati+0.3hatj+chatk be a unit vector , then what is the value of c ?

If veca = hati + hatj + hatk , vecb = hatj - hatk then find a vector vecc , such that veca xx vecc = vecb and veca .vecc = 3 .

Find the value of x for which x(hati+hatj+hatk) is a unit vector.

vecA =2hati +3hatj+4hatk & vecB=hati- hatj + hatk are two given vectors. Find out the value of barA xx barB .

If veca=2hati + 3hatj+ 8hatk is perpendicular to vecb= 4hati-4hatj + alphahatk , then find the value of alpha

Statement 1: If a_(1)hati + a_(2)hatj + a_(3)hatk, vecbhati+b_(2)hatj + b_(3) hatk and c_(1)hati + c_(2)hatj + c_(3)hatk are three mutually perpendicular unit vectors then a_(1)hati + b_(1)hatj + c_(1)hatk,a_(2)hati +b_(2)hatj+c_(2) hatk and a_(3)hati + b_(3) hatj + c_(3) hatk may be mutually perpendicular unit vectors. Statement 2 : value of determinant and its transpose are the same.

If veca=2hati-5hatj+4hatk and vecb=hati-4hatj+6hatk , then a unit vector in the direction of the vector 2veca-vecb is -

If veca= hati +hatj, vecb= hatj + hatk, vecc = hatk + hati then in the reciprocal system of vectors veca, vecb, vecc reciprocal veca of vector veca is