Question

Theorem If a, b, and c are vectors and c is a scalar, then 1. a !! b = -b !! a 2. (ca) !! b = c(a !! b) = a !! (cb) 3. a !! (b + c) = a !! b + a !! c 4. (a + b) !! c = a !! c + b !! c 5. a !! (b !! c) = (a !! b) !! c 6. a !! (b !! c) = (a !! c)b - (a !! b)c

          Theorem If a, b, and c are vectors and c is a scalar, then
1. a !! b = -b !! a
2. (ca) !! b = c(a !! b) = a !! (cb)
3. a !! (b + c) = a !! b + a !! c
4. (a + b) !! c = a !! c + b !! c
5. a !! (b !! c) = (a !! b) !! c
6. a !! (b !! c) = (a !! c)b - (a !! b)c

Theorem If a, b, and c are vectors and c is a scalar, then
1. a !! b = -b !! a
2. (ca) !! b = c(a !! b) = a !! (cb)
3. a !! (b + c) = a !! b + a !! c
4. (a + b) !! c = a !! c + b !! c
5. a !! (b !! c) = (a !! b) !! c
6. a !! (b !! c) = (a !! c)b - (a !! b)c

Added by Jodi B.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Harsha M

Step 1

a x b = -b x a This is true because the cross product is anti-commutative, meaning that changing the order of the vectors results in the negation of the cross product. Show more…

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Theorem If a, b, and c are vectors and c is a scalar, then 1. a !! b = -b !! a 2. (ca) !! b = c(a !! b) = a !! (cb) 3. a !! (b + c) = a !! b + a !! c 4. (a + b) !! c = a !! c + b !! c 5. a !! (b !! c) = (a !! b) !! c 6. a !! (b !! c) = (a !! c)b - (a !! b)c