Find the value of: `(hat i times hat j).hat k + hat i.hat j`

Find the value of hat i xx hat j

Find the value of hat I .( hat j xx hat k) .

Find the value of (3hat i-hat j+5hat k)-(hat i-5hat j+3hat k)

Write the value of (hat i xxhat j)dot hat k+(hat j xxhat k)hat i

Find the value of : (i) (hat(i) xxhat(j))*hat (k) + hat(i)* hat(j) (ii) (hat(k) xx hat(j))* hat(i) +hat(j)* hat(k) hat(i) xx (hat(j) + hat(k) )+hat(j) xx(hat(k) +hat(i))+ hat(k) xx (hat(i)+hat(j))

Write the value of [ hat i- hat j\ hat j- hat k\ hat k- hat i]

The angle between the vectors (hat i + hat j + hat k) and ( hat i - hat j -hat k) is

(hat i xxhat j)*hat k+(hat j+hat k)*hat j

Vectors perpendicular to hat i-hat j-hat k and in the plane of hat i+hat j+hat k and -hat i+hat j+vec k are hat i+hat k b.2hat i+hat j+hat hat k c.3hat i+2hat j+hat k d.-4hat i-2hat j-2hat k

Find the area of the parallelogram determined by the vectors: hat i-3hat j+hat k and hat i+hat j+hat k