You might need: Calculator Problem Zane is a dangerous fellow who likes to go rock climbing in active volcanoes. One time while
2 answers:
Answer: Zane was 25 meters below the edge of the volcano when he started and he took 6.25 seconds to reach the edge of volcano.
Step-by-step explanation:
Since wee have given that
Speed at which he climb up = 4 meters per second
After 3 seconds, he was 13 meters below the edge of the volcano.
When he started climbing, Position of him below the edge of the volcano is given by
Time taken by Zane to reach the edge of the volcano is given by
Hence, Zane was 25 meters below the edge of the volcano when he started and he took 6.25 seconds to reach the edge of volcano.
You might be interested in
Answer:
Take as the projection of u onto v and
as the vector such that b+w =u
Step-by-step explanation:
The formula of projection of a vector u onto a vector v is given by
, where
is the dot product between vectors.
First, let b ve the projection of u onto v. Then
We want a vector w, that is orthogonal to b and that b+w = u. From this equation we have that w = u-b = (-6,8)-\frac{-17}{25}(7,1)= \frac{1}{25}(-31,217)[/tex]
By construction, we have that w+b=u. We need to check that they are orthogonal. To do so, the dot product between w and b must be zero. Recall that if we have vectors a,b that are orthogonal then for every non-zero escalar r,k the vector ra and kb are also orthogonal. Then, we can check if w and b are orthogonal by checking if the vectors (7,1) and (-31, 217) are orthogonal.
We have that . Then this vectors are orthogonal, and thus, w and b are orthogonal.