Which of the following expressions are meaningful?

\to u . (\to v \times \to w)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

(\to u . \to v) . \to w

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(\to u . \to v) \to w

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\to u \times (\to v . \to w)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct options are
A $\to u . (\to v \times \to w)$

C $(\to u . \to v) \to w$

Expressions in option (a) is meaningful as it is a dot product of two vectors.
Expression in option (b) is meaningless as it is a dot product of a vector and a scalar quantity.
Expression in option (c) is meaningful as it’s a multiplication of a vector with scalar.
Expression in option (d) is meaningless as it is a cross product of a vector quantity with scalar quantity.

Suggest Corrections

u, v

w

u + v + w = 0

| u | = 3, | v | = 4

| w | = 5

u . v + v . w + w . u

u, v

w

x

\frac{d}{d x} (u, v, w) = \frac{d u}{d x} v . w + u . \frac{d v}{d x} . w + u . v \frac{d w}{d x}

u, v, w

Join BYJU'S Learning Program