Given the vectors $i+j$ and $i-j$, what is the result of their cross product $\times$ using the properties of cross products (not determinants)?

Find the magnitude and direction of the vector C =2B × A.

For the two vectors in Fig. E1.35, find the magnitude and direction of the vector product A x B

For the two vectors $\overrightarrow{A}$ and $\overrightarrow{B}$ in the figure$1.39$, find the magnitude and direction of the vector product $\overrightarrow{A}\times \overrightarrow{B}$.

Vector A ＝ 3î＋ĵ and vector B＝ 3î - 2ĵ ＋ 2k. What is the cross product A ✕ B?

Show that  î x ĵ = k̂ , î x k̂ = - ĵ, and ĵ x k̂ = î.

(I) If vector A→ points along the negative x axis and vector B→ along the positive z axis, what is the direction of (a) A→ x B→ and (b) B→ x A→? (c) What is the magnitude of A→ x B→ and B→ x A→?

(I) The directions of vectors A → and B→ are given below for several cases. For each case, state the direction of A→ x B→ . (d) A→ points straight up, B→ points straight down.