Let $\mathbf { r } ( t ) = ( 2 - 3 t ) \mathbf { i } + 4 t \mathbf { j } - ( 1 - t ) \mathbf { k }$ Then $\mathbf { r } ^ { \prime } ( 0 )$ is

A) $- 3 \mathbf { i } - 4 \mathbf { j } - \mathbf { k }$
B) $3 \mathbf { i } + 4 \mathbf { j } - \mathbf { k }$
C) $3 \mathbf { i } + 4 \mathbf { j } + \mathbf { k }$
D) $- 3 \mathbf { i } - 4 \mathbf { j } + \mathbf { k }$
E) $- 3 \mathbf { i } + 4 \mathbf { j } + \mathbf { k }$

Question

Let $\mathbf { r } ( t ) = ( 2 - 3 t ) \mathbf { i } + 4 t \mathbf { j } - ( 1 - t ) \mathbf { k }$ Then $\mathbf { r } ^ { \prime } ( 0 )$ is

A) $- 3 \mathbf { i } - 4 \mathbf { j } - \mathbf { k }$
B) $3 \mathbf { i } + 4 \mathbf { j } - \mathbf { k }$
C) $3 \mathbf { i } + 4 \mathbf { j } + \mathbf { k }$
D) $- 3 \mathbf { i } - 4 \mathbf { j } + \mathbf { k }$
E) $- 3 \mathbf { i } + 4 \mathbf { j } + \mathbf { k }$

Quizplus · Accepted Answer

The Answer of Let $\mathbf { r } ( t ) = ( 2 - 3 t ) \mathbf { i } + 4 t \mathbf { j } - ( 1 - t ) \mathbf { k }$ Then $\mathbf { r } ^ { \prime } ( 0 )$ is

A) $- 3 \mathbf { i } - 4 \mathbf { j } - \mathbf { k }$
B) $3 \mathbf { i } + 4 \mathbf { j } - \mathbf { k }$
C) $3 \mathbf { i } + 4 \mathbf { j } + \mathbf { k }$
D) $- 3 \mathbf { i } - 4 \mathbf { j } + \mathbf { k }$
E) $- 3 \mathbf { i } + 4 \mathbf { j } + \mathbf { k }$

Let r(t)=(2−3t)i+4tj−(1−t)k\mathbf { r } ( t ) = ( 2 - 3 t ) \mathbf { i } + 4 t \mathbf { j } - ( 1 - t ) \mathbf { k }r(t)=(2−3t)i+4tj−(1−t)k

Let $\mathbf { r } ( t ) = ( 2 - 3 t ) \mathbf { i } + 4 t \mathbf { j } - ( 1 - t ) \mathbf { k }$