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Evaluate [hat(i) hat(k) hat(j)] + [hat(i...

Evaluate `[hat(i) hat(k) hat(j)] + [hat(i) hat(j)hat(k)]`.

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Find the volume of the parallelopiped, whose coterminus edges are 2hat(i) - hat(j) + hat(k), hat(i) + 2hat(j) - hat(k) and hat(j) + hat(k) .

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Write the value of (hat(k) xx hat(j)).hat(i) + hat(j).hat(k) .

Determine the sine of the angle between the vectors hat(i) - 3hat(j) + hat(k), hat(i) + hat(j) + hat(k)

What is the angle between the vectors 2hat(i) - hat(j) - hat(k) and hat(i) + hat(j) + hat(k) ?

If a = 2hat(i) + hat(j) - hat(k), b = -hat(i) + 2hat(j) - 4hat(k) , c = hat(i) + hat(j) + hat(k) and (a xx b).(a xx c)

Find the unit vector perpendicular to the vectors 2hat(i)-hat(j)+hat(k) and 3hat(i)+2hat(j)-hat(k) .

Determine the sine of the angle between the vectors hat(i)-3hat(j)+hat(k) and hat(i)+hat(j)+hat(k)

Find the volume of the parallelopiped whose sides given by the vectors hat(i) + hat(j) + hat(k), hat(k), 3hat(i) - hat(j) + 2hat(k)

Find the scalar triple product b.(c xx a) where a, b and c are respectively hat(i) + hat(j), hat(i) - hat(j), 5hat(i) + 2hat(j) + 3hat(k)

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