Question

2. (5 pts.) TRUE OR FALSE (a) The dot (same thing as "inner") product of two vectors in R3 is a vector in R3. (b) If u = 0 = <0, 0, 0> is the zero vector in R3, then u · v = 0. (c) If u · v = 0, then either u = 0 or v = 0. (d) If for every vector v in R3 we have u · v = 0, then u = 0. (e) If u1 · v = 5 and v · u2 = 3, then (u1 + u2) · v = 8. 3. (3pts.) Find a unit vector pointing in the direction of v = <3, 4, 0>.

          2. (5 pts.) TRUE OR FALSE
(a) The dot (same thing as "inner") product of two vectors in R3 is a vector in R3.
(b) If u = 0 = <0, 0, 0> is the zero vector in R3, then u · v = 0.
(c) If u · v = 0, then either u = 0 or v = 0.
(d) If for every vector v in R3 we have u · v = 0, then u = 0.
(e) If u1 · v = 5 and v · u2 = 3, then (u1 + u2) · v = 8.
3. (3pts.) Find a unit vector pointing in the direction of v = <3, 4, 0>.

2. (5 pts.) TRUE OR FALSE
(a) The dot (same thing as "inner") product of two vectors in R3 is a vector in R3.
(b) If u = 0 = <0, 0, 0> is the zero vector in R3, then u · v = 0.
(c) If u · v = 0, then either u = 0 or v = 0.
(d) If for every vector v in R3 we have u · v = 0, then u = 0.
(e) If u1 · v = 5 and v · u2 = 3, then (u1 + u2) · v = 8.
3. (3pts.) Find a unit vector pointing in the direction of v = <3, 4, 0>.

Added by Tanner H.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

08/25/2023

Step 1

The dot product of two vectors in R3 is a vector in R3. The dot product of two vectors results in a scalar, not a vector. So, this statement is false. Show more…

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True or False: The dot product of two vectors in R3 is a vector in R3. If u = 0 = (0,0,0) is the zero vector in R3, then u .v = 0. If u -v = 0, then either u = 0 or v = 0. If for every vector v in R3 we have u .v = 0, then u = 0. If u1 = 5 and u2 = 3, then (4u1 + u2) . v = 3. Find a unit vector pointing in the direction of v = (3,4,0).