Civil Engineering > GATE 2024 SET-2 > Vector Calculus
Three vectors $vec{p}$, $vec{q}$, and $vec{r}$ given as
Which of the following is/are CORRECT?
A
$vec{p}$ x ($vec{q}$ x $vec{r}$) + $vec{q}$ x ($vec{r}$ x $vec{p}$) + $vec{r}$ x ($vec{p}$ x $vec{q}$) = $vec{0}$
B
$vec{p}$ x ($vec{q}$ x $vec{r}$) = ($vec{p}$ • $vec{r}$) $vec{q}$ - ($vec{p}$ • $vec{q}$) $vec{r}$
C
$vec{p}$ x ($vec{q}$ x $vec{r}$) = ($vec{p}$ x $vec{q}$) x $vec{r}$
D
$vec{r}$ • ($vec{p}$ x $vec{q}$) = ($vec{q}$ x $vec{p}$) • $vec{r}$

Correct : a,b

Similar Questions

What is curl of the vector field 2x2yi + 5z2j - 4yzk?
#535 MCQ
The unit normal vector to the surface X2 + Y2 + Z2 - 48 = 0 at the point (4, 4, 4) is
#784 MCQ
A vector field $vec{p}$ and a scalar field r are given by $vec{p}=(2x^{2}-3xy+z^{2})hat{i}+(2y^{2}-3yz+x^{2})hat{j}+(2z^{2}-3xz+x^{2})hat{k}$ r = 6x2 + 4y2 - z2...
#928 MCQ

Related Topics

vector triple product vector algebra vector identities GATE Civil Engineering 2024 Civil Engineering GATE scalar triple product cross product properties vector calculus

Unique Visitor Count

Total Unique Visitors

Loading......